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Finding the Fourth Proportional to 2,365.59, 3,545.01 and 1,744.41

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Solution

The fourth proportional to 2,365.59, 3,545.01 and 1,744.41 is: 2,614.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.59 : 3,545.01 = 1,744.41 : x
  2. Step 2: Convert to fraction form
    2,365.59/3,545.01 = 1,744.41/x
  3. Step 3: Cross multiply
    2,365.59x = 3,545.01 × 1,744.41
  4. Step 4: Simplify right side
    2,365.59x = 6,183,950.89
  5. Step 5: Solve for x
    x = 6,183,950.89/2,365.59
  6. Step 6: Final answer
    x = 2,614.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.