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Finding the Fourth Proportional to 1,722.29, 2,582.15 and 627.57

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Solution

The fourth proportional to 1,722.29, 2,582.15 and 627.57 is: 940.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.29 : 2,582.15 = 627.57 : x
  2. Step 2: Convert to fraction form
    1,722.29/2,582.15 = 627.57/x
  3. Step 3: Cross multiply
    1,722.29x = 2,582.15 × 627.57
  4. Step 4: Simplify right side
    1,722.29x = 1,620,476.74
  5. Step 5: Solve for x
    x = 1,620,476.74/1,722.29
  6. Step 6: Final answer
    x = 940.89

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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.