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Finding the Fourth Proportional to 2,530.76, 3,489.90 and 1,535.88

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Solution

The fourth proportional to 2,530.76, 3,489.90 and 1,535.88 is: 2,117.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.76 : 3,489.90 = 1,535.88 : x
  2. Step 2: Convert to fraction form
    2,530.76/3,489.90 = 1,535.88/x
  3. Step 3: Cross multiply
    2,530.76x = 3,489.90 × 1,535.88
  4. Step 4: Simplify right side
    2,530.76x = 5,360,067.61
  5. Step 5: Solve for x
    x = 5,360,067.61/2,530.76
  6. Step 6: Final answer
    x = 2,117.97

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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.