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Finding the Fourth Proportional to 2,974.39, 4,461.63 and 2,282.29

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Solution

The fourth proportional to 2,974.39, 4,461.63 and 2,282.29 is: 3,423.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.39 : 4,461.63 = 2,282.29 : x
  2. Step 2: Convert to fraction form
    2,974.39/4,461.63 = 2,282.29/x
  3. Step 3: Cross multiply
    2,974.39x = 4,461.63 × 2,282.29
  4. Step 4: Simplify right side
    2,974.39x = 10,182,733.53
  5. Step 5: Solve for x
    x = 10,182,733.53/2,974.39
  6. Step 6: Final answer
    x = 3,423.47

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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.