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Finding the Fourth Proportional to 2,252.47, 3,377.48 and 1,081.40

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Solution

The fourth proportional to 2,252.47, 3,377.48 and 1,081.40 is: 1,621.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.47 : 3,377.48 = 1,081.40 : x
  2. Step 2: Convert to fraction form
    2,252.47/3,377.48 = 1,081.40/x
  3. Step 3: Cross multiply
    2,252.47x = 3,377.48 × 1,081.40
  4. Step 4: Simplify right side
    2,252.47x = 3,652,384.58
  5. Step 5: Solve for x
    x = 3,652,384.58/2,252.47
  6. Step 6: Final answer
    x = 1,621.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.