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Finding the Fourth Proportional to 2,772.84, 4,159.24 and 824.90

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Solution

The fourth proportional to 2,772.84, 4,159.24 and 824.90 is: 1,237.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.84 : 4,159.24 = 824.90 : x
  2. Step 2: Convert to fraction form
    2,772.84/4,159.24 = 824.90/x
  3. Step 3: Cross multiply
    2,772.84x = 4,159.24 × 824.90
  4. Step 4: Simplify right side
    2,772.84x = 3,430,957.08
  5. Step 5: Solve for x
    x = 3,430,957.08/2,772.84
  6. Step 6: Final answer
    x = 1,237.34

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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.