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Finding the Fourth Proportional to 1,778.57, 2,453.12 and 1,542.09

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Solution

The fourth proportional to 1,778.57, 2,453.12 and 1,542.09 is: 2,126.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.57 : 2,453.12 = 1,542.09 : x
  2. Step 2: Convert to fraction form
    1,778.57/2,453.12 = 1,542.09/x
  3. Step 3: Cross multiply
    1,778.57x = 2,453.12 × 1,542.09
  4. Step 4: Simplify right side
    1,778.57x = 3,782,931.82
  5. Step 5: Solve for x
    x = 3,782,931.82/1,778.57
  6. Step 6: Final answer
    x = 2,126.96

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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.