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Finding the Fourth Proportional to 1,580.52, 2,371.15 and 540.53

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Solution

The fourth proportional to 1,580.52, 2,371.15 and 540.53 is: 810.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.52 : 2,371.15 = 540.53 : x
  2. Step 2: Convert to fraction form
    1,580.52/2,371.15 = 540.53/x
  3. Step 3: Cross multiply
    1,580.52x = 2,371.15 × 540.53
  4. Step 4: Simplify right side
    1,580.52x = 1,281,684.99
  5. Step 5: Solve for x
    x = 1,281,684.99/1,580.52
  6. Step 6: Final answer
    x = 810.92

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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.