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Finding the Fourth Proportional to 1,778.90, 2,452.50 and 1,247.07

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Solution

The fourth proportional to 1,778.90, 2,452.50 and 1,247.07 is: 1,719.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.90 : 2,452.50 = 1,247.07 : x
  2. Step 2: Convert to fraction form
    1,778.90/2,452.50 = 1,247.07/x
  3. Step 3: Cross multiply
    1,778.90x = 2,452.50 × 1,247.07
  4. Step 4: Simplify right side
    1,778.90x = 3,058,439.18
  5. Step 5: Solve for x
    x = 3,058,439.18/1,778.90
  6. Step 6: Final answer
    x = 1,719.28

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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.