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Finding the Fourth Proportional to 1,778.60, 2,453.78 and 1,032.41

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Solution

The fourth proportional to 1,778.60, 2,453.78 and 1,032.41 is: 1,424.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.60 : 2,453.78 = 1,032.41 : x
  2. Step 2: Convert to fraction form
    1,778.60/2,453.78 = 1,032.41/x
  3. Step 3: Cross multiply
    1,778.60x = 2,453.78 × 1,032.41
  4. Step 4: Simplify right side
    1,778.60x = 2,533,315.73
  5. Step 5: Solve for x
    x = 2,533,315.73/1,778.60
  6. Step 6: Final answer
    x = 1,424.33

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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.