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Finding the Fourth Proportional to 2,697.68, 4,029.76 and 2,260.28

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Solution

The fourth proportional to 2,697.68, 4,029.76 and 2,260.28 is: 3,376.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.68 : 4,029.76 = 2,260.28 : x
  2. Step 2: Convert to fraction form
    2,697.68/4,029.76 = 2,260.28/x
  3. Step 3: Cross multiply
    2,697.68x = 4,029.76 × 2,260.28
  4. Step 4: Simplify right side
    2,697.68x = 9,108,385.93
  5. Step 5: Solve for x
    x = 9,108,385.93/2,697.68
  6. Step 6: Final answer
    x = 3,376.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.