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Finding the Fourth Proportional to 2,569.07, 3,545.12 and 1,450.28

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Solution

The fourth proportional to 2,569.07, 3,545.12 and 1,450.28 is: 2,001.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.07 : 3,545.12 = 1,450.28 : x
  2. Step 2: Convert to fraction form
    2,569.07/3,545.12 = 1,450.28/x
  3. Step 3: Cross multiply
    2,569.07x = 3,545.12 × 1,450.28
  4. Step 4: Simplify right side
    2,569.07x = 5,141,409.38
  5. Step 5: Solve for x
    x = 5,141,409.38/2,569.07
  6. Step 6: Final answer
    x = 2,001.27

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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.