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Finding the Fourth Proportional to 2,032.98, 3,049.46 and 493.98

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Solution

The fourth proportional to 2,032.98, 3,049.46 and 493.98 is: 740.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.98 : 3,049.46 = 493.98 : x
  2. Step 2: Convert to fraction form
    2,032.98/3,049.46 = 493.98/x
  3. Step 3: Cross multiply
    2,032.98x = 3,049.46 × 493.98
  4. Step 4: Simplify right side
    2,032.98x = 1,506,369.78
  5. Step 5: Solve for x
    x = 1,506,369.78/2,032.98
  6. Step 6: Final answer
    x = 740.97

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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.