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Finding the Fourth Proportional to 2,428.99, 3,352.38 and 1,545.07

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Solution

The fourth proportional to 2,428.99, 3,352.38 and 1,545.07 is: 2,132.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.99 : 3,352.38 = 1,545.07 : x
  2. Step 2: Convert to fraction form
    2,428.99/3,352.38 = 1,545.07/x
  3. Step 3: Cross multiply
    2,428.99x = 3,352.38 × 1,545.07
  4. Step 4: Simplify right side
    2,428.99x = 5,179,661.77
  5. Step 5: Solve for x
    x = 5,179,661.77/2,428.99
  6. Step 6: Final answer
    x = 2,132.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.