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Finding the Fourth Proportional to 2,377.59, 3,566.58 and 1,191.21

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Solution

The fourth proportional to 2,377.59, 3,566.58 and 1,191.21 is: 1,786.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.59 : 3,566.58 = 1,191.21 : x
  2. Step 2: Convert to fraction form
    2,377.59/3,566.58 = 1,191.21/x
  3. Step 3: Cross multiply
    2,377.59x = 3,566.58 × 1,191.21
  4. Step 4: Simplify right side
    2,377.59x = 4,248,545.76
  5. Step 5: Solve for x
    x = 4,248,545.76/2,377.59
  6. Step 6: Final answer
    x = 1,786.91

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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.