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Finding the Fourth Proportional to 2,034.18, 3,048.80 and 992.62

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Solution

The fourth proportional to 2,034.18, 3,048.80 and 992.62 is: 1,487.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.18 : 3,048.80 = 992.62 : x
  2. Step 2: Convert to fraction form
    2,034.18/3,048.80 = 992.62/x
  3. Step 3: Cross multiply
    2,034.18x = 3,048.80 × 992.62
  4. Step 4: Simplify right side
    2,034.18x = 3,026,299.86
  5. Step 5: Solve for x
    x = 3,026,299.86/2,034.18
  6. Step 6: Final answer
    x = 1,487.72

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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.