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Finding the Fourth Proportional to 2,377.08, 3,565.14 and 1,991.16

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Solution

The fourth proportional to 2,377.08, 3,565.14 and 1,991.16 is: 2,986.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.08 : 3,565.14 = 1,991.16 : x
  2. Step 2: Convert to fraction form
    2,377.08/3,565.14 = 1,991.16/x
  3. Step 3: Cross multiply
    2,377.08x = 3,565.14 × 1,991.16
  4. Step 4: Simplify right side
    2,377.08x = 7,098,764.16
  5. Step 5: Solve for x
    x = 7,098,764.16/2,377.08
  6. Step 6: Final answer
    x = 2,986.34

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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.