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Finding the Fourth Proportional to 1,724.29, 2,587.14 and 628.76

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Solution

The fourth proportional to 1,724.29, 2,587.14 and 628.76 is: 943.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.29 : 2,587.14 = 628.76 : x
  2. Step 2: Convert to fraction form
    1,724.29/2,587.14 = 628.76/x
  3. Step 3: Cross multiply
    1,724.29x = 2,587.14 × 628.76
  4. Step 4: Simplify right side
    1,724.29x = 1,626,696.61
  5. Step 5: Solve for x
    x = 1,626,696.61/1,724.29
  6. Step 6: Final answer
    x = 943.40

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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.