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Finding the Fourth Proportional to 2,595.65, 3,891.15 and 1,034.87

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Solution

The fourth proportional to 2,595.65, 3,891.15 and 1,034.87 is: 1,551.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,595.65 : 3,891.15 = 1,034.87 : x
  2. Step 2: Convert to fraction form
    2,595.65/3,891.15 = 1,034.87/x
  3. Step 3: Cross multiply
    2,595.65x = 3,891.15 × 1,034.87
  4. Step 4: Simplify right side
    2,595.65x = 4,026,814.94
  5. Step 5: Solve for x
    x = 4,026,814.94/2,595.65
  6. Step 6: Final answer
    x = 1,551.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.