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Finding the Fourth Proportional to 2,402.50, 3,605.19 and 1,034.50

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Solution

The fourth proportional to 2,402.50, 3,605.19 and 1,034.50 is: 1,552.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.50 : 3,605.19 = 1,034.50 : x
  2. Step 2: Convert to fraction form
    2,402.50/3,605.19 = 1,034.50/x
  3. Step 3: Cross multiply
    2,402.50x = 3,605.19 × 1,034.50
  4. Step 4: Simplify right side
    2,402.50x = 3,729,569.06
  5. Step 5: Solve for x
    x = 3,729,569.06/2,402.50
  6. Step 6: Final answer
    x = 1,552.37

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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.