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Finding the Fourth Proportional to 2,032.86, 2,805.12 and 1,148.49

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Solution

The fourth proportional to 2,032.86, 2,805.12 and 1,148.49 is: 1,584.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.86 : 2,805.12 = 1,148.49 : x
  2. Step 2: Convert to fraction form
    2,032.86/2,805.12 = 1,148.49/x
  3. Step 3: Cross multiply
    2,032.86x = 2,805.12 × 1,148.49
  4. Step 4: Simplify right side
    2,032.86x = 3,221,652.27
  5. Step 5: Solve for x
    x = 3,221,652.27/2,032.86
  6. Step 6: Final answer
    x = 1,584.79

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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.