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Finding the Fourth Proportional to 2,411.44, 3,328.76 and 1,627.76

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Solution

The fourth proportional to 2,411.44, 3,328.76 and 1,627.76 is: 2,246.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.44 : 3,328.76 = 1,627.76 : x
  2. Step 2: Convert to fraction form
    2,411.44/3,328.76 = 1,627.76/x
  3. Step 3: Cross multiply
    2,411.44x = 3,328.76 × 1,627.76
  4. Step 4: Simplify right side
    2,411.44x = 5,418,422.38
  5. Step 5: Solve for x
    x = 5,418,422.38/2,411.44
  6. Step 6: Final answer
    x = 2,246.97

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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.