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Finding the Fourth Proportional to 2,495.76, 3,743.64 and 1,034.52

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Solution

The fourth proportional to 2,495.76, 3,743.64 and 1,034.52 is: 1,551.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495.76 : 3,743.64 = 1,034.52 : x
  2. Step 2: Convert to fraction form
    2,495.76/3,743.64 = 1,034.52/x
  3. Step 3: Cross multiply
    2,495.76x = 3,743.64 × 1,034.52
  4. Step 4: Simplify right side
    2,495.76x = 3,872,870.45
  5. Step 5: Solve for x
    x = 3,872,870.45/2,495.76
  6. Step 6: Final answer
    x = 1,551.78

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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.