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Finding the Fourth Proportional to 2,992.89, 4,491.14 and 1,046.46

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Solution

The fourth proportional to 2,992.89, 4,491.14 and 1,046.46 is: 1,570.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.89 : 4,491.14 = 1,046.46 : x
  2. Step 2: Convert to fraction form
    2,992.89/4,491.14 = 1,046.46/x
  3. Step 3: Cross multiply
    2,992.89x = 4,491.14 × 1,046.46
  4. Step 4: Simplify right side
    2,992.89x = 4,699,793.13
  5. Step 5: Solve for x
    x = 4,699,793.13/2,992.89
  6. Step 6: Final answer
    x = 1,570.32

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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.