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Finding the Fourth Proportional to 2,697.30, 3,710.61 and 2,646.27

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Solution

The fourth proportional to 2,697.30, 3,710.61 and 2,646.27 is: 3,640.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.30 : 3,710.61 = 2,646.27 : x
  2. Step 2: Convert to fraction form
    2,697.30/3,710.61 = 2,646.27/x
  3. Step 3: Cross multiply
    2,697.30x = 3,710.61 × 2,646.27
  4. Step 4: Simplify right side
    2,697.30x = 9,819,275.92
  5. Step 5: Solve for x
    x = 9,819,275.92/2,697.30
  6. Step 6: Final answer
    x = 3,640.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.