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Finding the Fourth Proportional to 2,421.69, 3,339.81 and 1,861.17

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Solution

The fourth proportional to 2,421.69, 3,339.81 and 1,861.17 is: 2,566.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,421.69 : 3,339.81 = 1,861.17 : x
  2. Step 2: Convert to fraction form
    2,421.69/3,339.81 = 1,861.17/x
  3. Step 3: Cross multiply
    2,421.69x = 3,339.81 × 1,861.17
  4. Step 4: Simplify right side
    2,421.69x = 6,215,954.18
  5. Step 5: Solve for x
    x = 6,215,954.18/2,421.69
  6. Step 6: Final answer
    x = 2,566.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.