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Finding the Fourth Proportional to 2,630.42, 3,945.84 and 781.40

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Solution

The fourth proportional to 2,630.42, 3,945.84 and 781.40 is: 1,172.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,630.42 : 3,945.84 = 781.40 : x
  2. Step 2: Convert to fraction form
    2,630.42/3,945.84 = 781.40/x
  3. Step 3: Cross multiply
    2,630.42x = 3,945.84 × 781.40
  4. Step 4: Simplify right side
    2,630.42x = 3,083,279.38
  5. Step 5: Solve for x
    x = 3,083,279.38/2,630.42
  6. Step 6: Final answer
    x = 1,172.16

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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.