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Finding the Fourth Proportional to 1,712.67, 2,569.03 and 616.27

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Solution

The fourth proportional to 1,712.67, 2,569.03 and 616.27 is: 924.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.67 : 2,569.03 = 616.27 : x
  2. Step 2: Convert to fraction form
    1,712.67/2,569.03 = 616.27/x
  3. Step 3: Cross multiply
    1,712.67x = 2,569.03 × 616.27
  4. Step 4: Simplify right side
    1,712.67x = 1,583,213.04
  5. Step 5: Solve for x
    x = 1,583,213.04/1,712.67
  6. Step 6: Final answer
    x = 924.41

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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.