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Finding the Fourth Proportional to 1,712.40, 2,568.89 and 616.87

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Solution

The fourth proportional to 1,712.40, 2,568.89 and 616.87 is: 925.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.40 : 2,568.89 = 616.87 : x
  2. Step 2: Convert to fraction form
    1,712.40/2,568.89 = 616.87/x
  3. Step 3: Cross multiply
    1,712.40x = 2,568.89 × 616.87
  4. Step 4: Simplify right side
    1,712.40x = 1,584,671.17
  5. Step 5: Solve for x
    x = 1,584,671.17/1,712.40
  6. Step 6: Final answer
    x = 925.41

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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.