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Finding the Fourth Proportional to 2,262.92, 3,393.52 and 781.72

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Solution

The fourth proportional to 2,262.92, 3,393.52 and 781.72 is: 1,172.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.92 : 3,393.52 = 781.72 : x
  2. Step 2: Convert to fraction form
    2,262.92/3,393.52 = 781.72/x
  3. Step 3: Cross multiply
    2,262.92x = 3,393.52 × 781.72
  4. Step 4: Simplify right side
    2,262.92x = 2,652,782.45
  5. Step 5: Solve for x
    x = 2,652,782.45/2,262.92
  6. Step 6: Final answer
    x = 1,172.28

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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.