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Finding the Fourth Proportional to 1,385.78, 2,076.38 and 1,242.88

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Solution

The fourth proportional to 1,385.78, 2,076.38 and 1,242.88 is: 1,862.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.78 : 2,076.38 = 1,242.88 : x
  2. Step 2: Convert to fraction form
    1,385.78/2,076.38 = 1,242.88/x
  3. Step 3: Cross multiply
    1,385.78x = 2,076.38 × 1,242.88
  4. Step 4: Simplify right side
    1,385.78x = 2,580,694.28
  5. Step 5: Solve for x
    x = 2,580,694.28/1,385.78
  6. Step 6: Final answer
    x = 1,862.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.