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Finding the Fourth Proportional to 2,479.12, 3,419.76 and 1,546

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Solution

The fourth proportional to 2,479.12, 3,419.76 and 1,546 is: 2,132.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,479.12 : 3,419.76 = 1,546 : x
  2. Step 2: Convert to fraction form
    2,479.12/3,419.76 = 1,546/x
  3. Step 3: Cross multiply
    2,479.12x = 3,419.76 × 1,546
  4. Step 4: Simplify right side
    2,479.12x = 5,286,948.96
  5. Step 5: Solve for x
    x = 5,286,948.96/2,479.12
  6. Step 6: Final answer
    x = 2,132.59

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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.