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Finding the Fourth Proportional to 2,932.74, 4,047.34 and 1,673.86

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Solution

The fourth proportional to 2,932.74, 4,047.34 and 1,673.86 is: 2,310.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932.74 : 4,047.34 = 1,673.86 : x
  2. Step 2: Convert to fraction form
    2,932.74/4,047.34 = 1,673.86/x
  3. Step 3: Cross multiply
    2,932.74x = 4,047.34 × 1,673.86
  4. Step 4: Simplify right side
    2,932.74x = 6,774,680.53
  5. Step 5: Solve for x
    x = 6,774,680.53/2,932.74
  6. Step 6: Final answer
    x = 2,310.02

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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.