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Finding the Fourth Proportional to 1,877.84, 2,816.83 and 645.24

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Solution

The fourth proportional to 1,877.84, 2,816.83 and 645.24 is: 967.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.84 : 2,816.83 = 645.24 : x
  2. Step 2: Convert to fraction form
    1,877.84/2,816.83 = 645.24/x
  3. Step 3: Cross multiply
    1,877.84x = 2,816.83 × 645.24
  4. Step 4: Simplify right side
    1,877.84x = 1,817,531.21
  5. Step 5: Solve for x
    x = 1,817,531.21/1,877.84
  6. Step 6: Final answer
    x = 967.88

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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.