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Finding the Fourth Proportional to 2,421.56, 3,631.86 and 689.78

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Solution

The fourth proportional to 2,421.56, 3,631.86 and 689.78 is: 1,034.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,421.56 : 3,631.86 = 689.78 : x
  2. Step 2: Convert to fraction form
    2,421.56/3,631.86 = 689.78/x
  3. Step 3: Cross multiply
    2,421.56x = 3,631.86 × 689.78
  4. Step 4: Simplify right side
    2,421.56x = 2,505,184.39
  5. Step 5: Solve for x
    x = 2,505,184.39/2,421.56
  6. Step 6: Final answer
    x = 1,034.53

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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.