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Finding the Fourth Proportional to 2,560.28, 3,530.84 and 1,898.78

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Solution

The fourth proportional to 2,560.28, 3,530.84 and 1,898.78 is: 2,618.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.28 : 3,530.84 = 1,898.78 : x
  2. Step 2: Convert to fraction form
    2,560.28/3,530.84 = 1,898.78/x
  3. Step 3: Cross multiply
    2,560.28x = 3,530.84 × 1,898.78
  4. Step 4: Simplify right side
    2,560.28x = 6,704,288.38
  5. Step 5: Solve for x
    x = 6,704,288.38/2,560.28
  6. Step 6: Final answer
    x = 2,618.58

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Why These Related Problems?

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