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Finding the Fourth Proportional to 2,046.79, 3,071 and 1,073.58

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Solution

The fourth proportional to 2,046.79, 3,071 and 1,073.58 is: 1,610.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.79 : 3,071 = 1,073.58 : x
  2. Step 2: Convert to fraction form
    2,046.79/3,071 = 1,073.58/x
  3. Step 3: Cross multiply
    2,046.79x = 3,071 × 1,073.58
  4. Step 4: Simplify right side
    2,046.79x = 3,296,964.18
  5. Step 5: Solve for x
    x = 3,296,964.18/2,046.79
  6. Step 6: Final answer
    x = 1,610.80

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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.