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Finding the Fourth Proportional to 1,813.68, 2,502.64 and 1,149.36

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Solution

The fourth proportional to 1,813.68, 2,502.64 and 1,149.36 is: 1,585.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,813.68 : 2,502.64 = 1,149.36 : x
  2. Step 2: Convert to fraction form
    1,813.68/2,502.64 = 1,149.36/x
  3. Step 3: Cross multiply
    1,813.68x = 2,502.64 × 1,149.36
  4. Step 4: Simplify right side
    1,813.68x = 2,876,434.31
  5. Step 5: Solve for x
    x = 2,876,434.31/1,813.68
  6. Step 6: Final answer
    x = 1,585.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.