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Finding the Fourth Proportional to 2,347.38, 3,523.10 and 1,114.16

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Solution

The fourth proportional to 2,347.38, 3,523.10 and 1,114.16 is: 1,672.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.38 : 3,523.10 = 1,114.16 : x
  2. Step 2: Convert to fraction form
    2,347.38/3,523.10 = 1,114.16/x
  3. Step 3: Cross multiply
    2,347.38x = 3,523.10 × 1,114.16
  4. Step 4: Simplify right side
    2,347.38x = 3,925,273.91
  5. Step 5: Solve for x
    x = 3,925,273.91/2,347.38
  6. Step 6: Final answer
    x = 1,672.19

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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.