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Finding the Fourth Proportional to 2,488.09, 3,729.90 and 950.17

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Solution

The fourth proportional to 2,488.09, 3,729.90 and 950.17 is: 1,424.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,488.09 : 3,729.90 = 950.17 : x
  2. Step 2: Convert to fraction form
    2,488.09/3,729.90 = 950.17/x
  3. Step 3: Cross multiply
    2,488.09x = 3,729.90 × 950.17
  4. Step 4: Simplify right side
    2,488.09x = 3,544,034.33
  5. Step 5: Solve for x
    x = 3,544,034.33/2,488.09
  6. Step 6: Final answer
    x = 1,424.40

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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.