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Finding the Fourth Proportional to 2,992.76, 4,488.60 and 1,349

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Solution

The fourth proportional to 2,992.76, 4,488.60 and 1,349 is: 2,023.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.76 : 4,488.60 = 1,349 : x
  2. Step 2: Convert to fraction form
    2,992.76/4,488.60 = 1,349/x
  3. Step 3: Cross multiply
    2,992.76x = 4,488.60 × 1,349
  4. Step 4: Simplify right side
    2,992.76x = 6,055,121.40
  5. Step 5: Solve for x
    x = 6,055,121.40/2,992.76
  6. Step 6: Final answer
    x = 2,023.26

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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.