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Finding the Fourth Proportional to 2,375.70, 3,275.46 and 1,534.98

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Solution

The fourth proportional to 2,375.70, 3,275.46 and 1,534.98 is: 2,116.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.70 : 3,275.46 = 1,534.98 : x
  2. Step 2: Convert to fraction form
    2,375.70/3,275.46 = 1,534.98/x
  3. Step 3: Cross multiply
    2,375.70x = 3,275.46 × 1,534.98
  4. Step 4: Simplify right side
    2,375.70x = 5,027,765.59
  5. Step 5: Solve for x
    x = 5,027,765.59/2,375.70
  6. Step 6: Final answer
    x = 2,116.33

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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.