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Finding the Fourth Proportional to 2,466, 3,403.56 and 1,471.44

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Solution

The fourth proportional to 2,466, 3,403.56 and 1,471.44 is: 2,030.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466 : 3,403.56 = 1,471.44 : x
  2. Step 2: Convert to fraction form
    2,466/3,403.56 = 1,471.44/x
  3. Step 3: Cross multiply
    2,466x = 3,403.56 × 1,471.44
  4. Step 4: Simplify right side
    2,466x = 5,008,134.33
  5. Step 5: Solve for x
    x = 5,008,134.33/2,466
  6. Step 6: Final answer
    x = 2,030.87

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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.