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Finding the Fourth Proportional to 2,447.57, 3,672.12 and 781.94

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Solution

The fourth proportional to 2,447.57, 3,672.12 and 781.94 is: 1,173.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.57 : 3,672.12 = 781.94 : x
  2. Step 2: Convert to fraction form
    2,447.57/3,672.12 = 781.94/x
  3. Step 3: Cross multiply
    2,447.57x = 3,672.12 × 781.94
  4. Step 4: Simplify right side
    2,447.57x = 2,871,377.51
  5. Step 5: Solve for x
    x = 2,871,377.51/2,447.57
  6. Step 6: Final answer
    x = 1,173.15

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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.