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Finding the Fourth Proportional to 2,932.56, 4,048.26 and 1,737.74

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Solution

The fourth proportional to 2,932.56, 4,048.26 and 1,737.74 is: 2,398.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932.56 : 4,048.26 = 1,737.74 : x
  2. Step 2: Convert to fraction form
    2,932.56/4,048.26 = 1,737.74/x
  3. Step 3: Cross multiply
    2,932.56x = 4,048.26 × 1,737.74
  4. Step 4: Simplify right side
    2,932.56x = 7,034,823.33
  5. Step 5: Solve for x
    x = 7,034,823.33/2,932.56
  6. Step 6: Final answer
    x = 2,398.87

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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.