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Finding the Fourth Proportional to 1,501.86, 2,251.24 and 577.18

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Solution

The fourth proportional to 1,501.86, 2,251.24 and 577.18 is: 865.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.86 : 2,251.24 = 577.18 : x
  2. Step 2: Convert to fraction form
    1,501.86/2,251.24 = 577.18/x
  3. Step 3: Cross multiply
    1,501.86x = 2,251.24 × 577.18
  4. Step 4: Simplify right side
    1,501.86x = 1,299,370.70
  5. Step 5: Solve for x
    x = 1,299,370.70/1,501.86
  6. Step 6: Final answer
    x = 865.17

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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.