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Finding the Fourth Proportional to 1,721.35, 2,582.41 and 625.71

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Solution

The fourth proportional to 1,721.35, 2,582.41 and 625.71 is: 938.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721.35 : 2,582.41 = 625.71 : x
  2. Step 2: Convert to fraction form
    1,721.35/2,582.41 = 625.71/x
  3. Step 3: Cross multiply
    1,721.35x = 2,582.41 × 625.71
  4. Step 4: Simplify right side
    1,721.35x = 1,615,839.76
  5. Step 5: Solve for x
    x = 1,615,839.76/1,721.35
  6. Step 6: Final answer
    x = 938.70

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