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Finding the Fourth Proportional to 2,377.62, 3,563.55 and 2,089.62

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Solution

The fourth proportional to 2,377.62, 3,563.55 and 2,089.62 is: 3,131.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.62 : 3,563.55 = 2,089.62 : x
  2. Step 2: Convert to fraction form
    2,377.62/3,563.55 = 2,089.62/x
  3. Step 3: Cross multiply
    2,377.62x = 3,563.55 × 2,089.62
  4. Step 4: Simplify right side
    2,377.62x = 7,446,465.35
  5. Step 5: Solve for x
    x = 7,446,465.35/2,377.62
  6. Step 6: Final answer
    x = 3,131.90

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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.