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Finding the Fourth Proportional to 1,978,513.46, 2,964,510.20 and 1,813,053.24

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Solution

The fourth proportional to 1,978,513.46, 2,964,510.20 and 1,813,053.24 is: 2,716,592.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978,513.46 : 2,964,510.20 = 1,813,053.24 : x
  2. Step 2: Convert to fraction form
    1,978,513.46/2,964,510.20 = 1,813,053.24/x
  3. Step 3: Cross multiply
    1,978,513.46x = 2,964,510.20 × 1,813,053.24
  4. Step 4: Simplify right side
    1,978,513.46x = 5,374,814,823,123.05
  5. Step 5: Solve for x
    x = 5,374,814,823,123.05/1,978,513.46
  6. Step 6: Final answer
    x = 2,716,592.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.