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Finding the Fourth Proportional to 1,515.60, 2,272.70 and 541.72

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Solution

The fourth proportional to 1,515.60, 2,272.70 and 541.72 is: 812.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.60 : 2,272.70 = 541.72 : x
  2. Step 2: Convert to fraction form
    1,515.60/2,272.70 = 541.72/x
  3. Step 3: Cross multiply
    1,515.60x = 2,272.70 × 541.72
  4. Step 4: Simplify right side
    1,515.60x = 1,231,167.04
  5. Step 5: Solve for x
    x = 1,231,167.04/1,515.60
  6. Step 6: Final answer
    x = 812.33

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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.