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Finding the Fourth Proportional to 2,032.80, 2,805.06 and 1,148.44

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Solution

The fourth proportional to 2,032.80, 2,805.06 and 1,148.44 is: 1,584.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.80 : 2,805.06 = 1,148.44 : x
  2. Step 2: Convert to fraction form
    2,032.80/2,805.06 = 1,148.44/x
  3. Step 3: Cross multiply
    2,032.80x = 2,805.06 × 1,148.44
  4. Step 4: Simplify right side
    2,032.80x = 3,221,443.11
  5. Step 5: Solve for x
    x = 3,221,443.11/2,032.80
  6. Step 6: Final answer
    x = 1,584.73

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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.