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Finding the Fourth Proportional to 2,630.79, 3,945.50 and 781.47

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Solution

The fourth proportional to 2,630.79, 3,945.50 and 781.47 is: 1,172.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,630.79 : 3,945.50 = 781.47 : x
  2. Step 2: Convert to fraction form
    2,630.79/3,945.50 = 781.47/x
  3. Step 3: Cross multiply
    2,630.79x = 3,945.50 × 781.47
  4. Step 4: Simplify right side
    2,630.79x = 3,083,291.84
  5. Step 5: Solve for x
    x = 3,083,291.84/2,630.79
  6. Step 6: Final answer
    x = 1,172.00

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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.