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Finding the Fourth Proportional to 1,513.76, 2,268.52 and 818.94

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Solution

The fourth proportional to 1,513.76, 2,268.52 and 818.94 is: 1,227.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.76 : 2,268.52 = 818.94 : x
  2. Step 2: Convert to fraction form
    1,513.76/2,268.52 = 818.94/x
  3. Step 3: Cross multiply
    1,513.76x = 2,268.52 × 818.94
  4. Step 4: Simplify right side
    1,513.76x = 1,857,781.77
  5. Step 5: Solve for x
    x = 1,857,781.77/1,513.76
  6. Step 6: Final answer
    x = 1,227.26

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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.