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Finding the Fourth Proportional to 2,782.48, 4,174.68 and 1,244.08

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Solution

The fourth proportional to 2,782.48, 4,174.68 and 1,244.08 is: 1,866.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.48 : 4,174.68 = 1,244.08 : x
  2. Step 2: Convert to fraction form
    2,782.48/4,174.68 = 1,244.08/x
  3. Step 3: Cross multiply
    2,782.48x = 4,174.68 × 1,244.08
  4. Step 4: Simplify right side
    2,782.48x = 5,193,635.89
  5. Step 5: Solve for x
    x = 5,193,635.89/2,782.48
  6. Step 6: Final answer
    x = 1,866.55

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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.