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Finding the Fourth Proportional to 2,366.75, 3,545.21 and 2,000.26

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Solution

The fourth proportional to 2,366.75, 3,545.21 and 2,000.26 is: 2,996.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.75 : 3,545.21 = 2,000.26 : x
  2. Step 2: Convert to fraction form
    2,366.75/3,545.21 = 2,000.26/x
  3. Step 3: Cross multiply
    2,366.75x = 3,545.21 × 2,000.26
  4. Step 4: Simplify right side
    2,366.75x = 7,091,351.19
  5. Step 5: Solve for x
    x = 7,091,351.19/2,366.75
  6. Step 6: Final answer
    x = 2,996.24

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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.