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Finding the Fourth Proportional to 3,072.48, 4,609.02 and 992.52

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Solution

The fourth proportional to 3,072.48, 4,609.02 and 992.52 is: 1,488.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.48 : 4,609.02 = 992.52 : x
  2. Step 2: Convert to fraction form
    3,072.48/4,609.02 = 992.52/x
  3. Step 3: Cross multiply
    3,072.48x = 4,609.02 × 992.52
  4. Step 4: Simplify right side
    3,072.48x = 4,574,544.53
  5. Step 5: Solve for x
    x = 4,574,544.53/3,072.48
  6. Step 6: Final answer
    x = 1,488.88

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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.