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Finding the Fourth Proportional to 2,414.56, 3,332.14 and 1,575.80

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Solution

The fourth proportional to 2,414.56, 3,332.14 and 1,575.80 is: 2,174.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.56 : 3,332.14 = 1,575.80 : x
  2. Step 2: Convert to fraction form
    2,414.56/3,332.14 = 1,575.80/x
  3. Step 3: Cross multiply
    2,414.56x = 3,332.14 × 1,575.80
  4. Step 4: Simplify right side
    2,414.56x = 5,250,786.21
  5. Step 5: Solve for x
    x = 5,250,786.21/2,414.56
  6. Step 6: Final answer
    x = 2,174.63

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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.