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Finding the Fourth Proportional to 2,425.81, 3,638.85 and 781.90

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Solution

The fourth proportional to 2,425.81, 3,638.85 and 781.90 is: 1,172.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.81 : 3,638.85 = 781.90 : x
  2. Step 2: Convert to fraction form
    2,425.81/3,638.85 = 781.90/x
  3. Step 3: Cross multiply
    2,425.81x = 3,638.85 × 781.90
  4. Step 4: Simplify right side
    2,425.81x = 2,845,216.82
  5. Step 5: Solve for x
    x = 2,845,216.82/2,425.81
  6. Step 6: Final answer
    x = 1,172.89

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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.