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Finding the Fourth Proportional to 2,030.46, 3,046.56 and 991.38

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Solution

The fourth proportional to 2,030.46, 3,046.56 and 991.38 is: 1,487.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.46 : 3,046.56 = 991.38 : x
  2. Step 2: Convert to fraction form
    2,030.46/3,046.56 = 991.38/x
  3. Step 3: Cross multiply
    2,030.46x = 3,046.56 × 991.38
  4. Step 4: Simplify right side
    2,030.46x = 3,020,298.65
  5. Step 5: Solve for x
    x = 3,020,298.65/2,030.46
  6. Step 6: Final answer
    x = 1,487.49

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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.