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Finding the Fourth Proportional to 2,377.30, 3,567.22 and 991.58

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Solution

The fourth proportional to 2,377.30, 3,567.22 and 991.58 is: 1,487.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.30 : 3,567.22 = 991.58 : x
  2. Step 2: Convert to fraction form
    2,377.30/3,567.22 = 991.58/x
  3. Step 3: Cross multiply
    2,377.30x = 3,567.22 × 991.58
  4. Step 4: Simplify right side
    2,377.30x = 3,537,184.01
  5. Step 5: Solve for x
    x = 3,537,184.01/2,377.30
  6. Step 6: Final answer
    x = 1,487.90

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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.