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Finding the Fourth Proportional to 1,481.40, 2,046.06 and 1,395

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Solution

The fourth proportional to 1,481.40, 2,046.06 and 1,395 is: 1,926.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,481.40 : 2,046.06 = 1,395 : x
  2. Step 2: Convert to fraction form
    1,481.40/2,046.06 = 1,395/x
  3. Step 3: Cross multiply
    1,481.40x = 2,046.06 × 1,395
  4. Step 4: Simplify right side
    1,481.40x = 2,854,253.70
  5. Step 5: Solve for x
    x = 2,854,253.70/1,481.40
  6. Step 6: Final answer
    x = 1,926.73

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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.