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Finding the Fourth Proportional to 2,092.91, 2,888.24 and 1,148.69

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Solution

The fourth proportional to 2,092.91, 2,888.24 and 1,148.69 is: 1,585.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.91 : 2,888.24 = 1,148.69 : x
  2. Step 2: Convert to fraction form
    2,092.91/2,888.24 = 1,148.69/x
  3. Step 3: Cross multiply
    2,092.91x = 2,888.24 × 1,148.69
  4. Step 4: Simplify right side
    2,092.91x = 3,317,672.22
  5. Step 5: Solve for x
    x = 3,317,672.22/2,092.91
  6. Step 6: Final answer
    x = 1,585.20

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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.