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Finding the Fourth Proportional to 1,501.89, 2,251.95 and 577.27

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Solution

The fourth proportional to 1,501.89, 2,251.95 and 577.27 is: 865.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.89 : 2,251.95 = 577.27 : x
  2. Step 2: Convert to fraction form
    1,501.89/2,251.95 = 577.27/x
  3. Step 3: Cross multiply
    1,501.89x = 2,251.95 × 577.27
  4. Step 4: Simplify right side
    1,501.89x = 1,299,983.18
  5. Step 5: Solve for x
    x = 1,299,983.18/1,501.89
  6. Step 6: Final answer
    x = 865.56

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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.