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Finding the Fourth Proportional to 1,778.58, 2,454.42 and 1,032.52

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Solution

The fourth proportional to 1,778.58, 2,454.42 and 1,032.52 is: 1,424.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.58 : 2,454.42 = 1,032.52 : x
  2. Step 2: Convert to fraction form
    1,778.58/2,454.42 = 1,032.52/x
  3. Step 3: Cross multiply
    1,778.58x = 2,454.42 × 1,032.52
  4. Step 4: Simplify right side
    1,778.58x = 2,534,237.74
  5. Step 5: Solve for x
    x = 2,534,237.74/1,778.58
  6. Step 6: Final answer
    x = 1,424.87

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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.