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Finding the Fourth Proportional to 3,117.42, 4,661.92 and 2,327.34

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Solution

The fourth proportional to 3,117.42, 4,661.92 and 2,327.34 is: 3,480.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.42 : 4,661.92 = 2,327.34 : x
  2. Step 2: Convert to fraction form
    3,117.42/4,661.92 = 2,327.34/x
  3. Step 3: Cross multiply
    3,117.42x = 4,661.92 × 2,327.34
  4. Step 4: Simplify right side
    3,117.42x = 10,849,861.26
  5. Step 5: Solve for x
    x = 10,849,861.26/3,117.42
  6. Step 6: Final answer
    x = 3,480.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.