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Finding the Fourth Proportional to 2,488.69, 3,729.67 and 948.85

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Solution

The fourth proportional to 2,488.69, 3,729.67 and 948.85 is: 1,421.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,488.69 : 3,729.67 = 948.85 : x
  2. Step 2: Convert to fraction form
    2,488.69/3,729.67 = 948.85/x
  3. Step 3: Cross multiply
    2,488.69x = 3,729.67 × 948.85
  4. Step 4: Simplify right side
    2,488.69x = 3,538,897.38
  5. Step 5: Solve for x
    x = 3,538,897.38/2,488.69
  6. Step 6: Final answer
    x = 1,421.99

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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.