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Finding the Fourth Proportional to 2,446.69, 3,376.98 and 1,914.52

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Solution

The fourth proportional to 2,446.69, 3,376.98 and 1,914.52 is: 2,642.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.69 : 3,376.98 = 1,914.52 : x
  2. Step 2: Convert to fraction form
    2,446.69/3,376.98 = 1,914.52/x
  3. Step 3: Cross multiply
    2,446.69x = 3,376.98 × 1,914.52
  4. Step 4: Simplify right side
    2,446.69x = 6,465,295.75
  5. Step 5: Solve for x
    x = 6,465,295.75/2,446.69
  6. Step 6: Final answer
    x = 2,642.47

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Why These Related Problems?

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