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Finding the Fourth Proportional to 2,032.67, 2,805.07 and 1,148.47

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Solution

The fourth proportional to 2,032.67, 2,805.07 and 1,148.47 is: 1,584.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.67 : 2,805.07 = 1,148.47 : x
  2. Step 2: Convert to fraction form
    2,032.67/2,805.07 = 1,148.47/x
  3. Step 3: Cross multiply
    2,032.67x = 2,805.07 × 1,148.47
  4. Step 4: Simplify right side
    2,032.67x = 3,221,537.31
  5. Step 5: Solve for x
    x = 3,221,537.31/2,032.67
  6. Step 6: Final answer
    x = 1,584.88

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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.