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Finding the Fourth Proportional to 2,421.32, 3,631.96 and 689.95

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Solution

The fourth proportional to 2,421.32, 3,631.96 and 689.95 is: 1,034.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,421.32 : 3,631.96 = 689.95 : x
  2. Step 2: Convert to fraction form
    2,421.32/3,631.96 = 689.95/x
  3. Step 3: Cross multiply
    2,421.32x = 3,631.96 × 689.95
  4. Step 4: Simplify right side
    2,421.32x = 2,505,870.80
  5. Step 5: Solve for x
    x = 2,505,870.80/2,421.32
  6. Step 6: Final answer
    x = 1,034.92

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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.