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Finding the Fourth Proportional to 2,377.35, 3,564.10 and 991.72

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Solution

The fourth proportional to 2,377.35, 3,564.10 and 991.72 is: 1,486.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.35 : 3,564.10 = 991.72 : x
  2. Step 2: Convert to fraction form
    2,377.35/3,564.10 = 991.72/x
  3. Step 3: Cross multiply
    2,377.35x = 3,564.10 × 991.72
  4. Step 4: Simplify right side
    2,377.35x = 3,534,589.25
  5. Step 5: Solve for x
    x = 3,534,589.25/2,377.35
  6. Step 6: Final answer
    x = 1,486.78

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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.