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Finding the Fourth Proportional to 2,048.90, 3,073.08 and 732.59

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Solution

The fourth proportional to 2,048.90, 3,073.08 and 732.59 is: 1,098.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.90 : 3,073.08 = 732.59 : x
  2. Step 2: Convert to fraction form
    2,048.90/3,073.08 = 732.59/x
  3. Step 3: Cross multiply
    2,048.90x = 3,073.08 × 732.59
  4. Step 4: Simplify right side
    2,048.90x = 2,251,307.68
  5. Step 5: Solve for x
    x = 2,251,307.68/2,048.90
  6. Step 6: Final answer
    x = 1,098.79

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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.