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Finding the Fourth Proportional to 2,951.22, 4,426.67 and 760.07

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Solution

The fourth proportional to 2,951.22, 4,426.67 and 760.07 is: 1,140.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,951.22 : 4,426.67 = 760.07 : x
  2. Step 2: Convert to fraction form
    2,951.22/4,426.67 = 760.07/x
  3. Step 3: Cross multiply
    2,951.22x = 4,426.67 × 760.07
  4. Step 4: Simplify right side
    2,951.22x = 3,364,553.13
  5. Step 5: Solve for x
    x = 3,364,553.13/2,951.22
  6. Step 6: Final answer
    x = 1,140.06

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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.