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Finding the Fourth Proportional to 2,962.49, 4,085.17 and 2,544.22

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Solution

The fourth proportional to 2,962.49, 4,085.17 and 2,544.22 is: 3,508.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,962.49 : 4,085.17 = 2,544.22 : x
  2. Step 2: Convert to fraction form
    2,962.49/4,085.17 = 2,544.22/x
  3. Step 3: Cross multiply
    2,962.49x = 4,085.17 × 2,544.22
  4. Step 4: Simplify right side
    2,962.49x = 10,393,569.96
  5. Step 5: Solve for x
    x = 10,393,569.96/2,962.49
  6. Step 6: Final answer
    x = 3,508.40

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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.