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Finding the Fourth Proportional to 3,000.39, 4,503.47 and 1,462.47

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Solution

The fourth proportional to 3,000.39, 4,503.47 and 1,462.47 is: 2,195.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.39 : 4,503.47 = 1,462.47 : x
  2. Step 2: Convert to fraction form
    3,000.39/4,503.47 = 1,462.47/x
  3. Step 3: Cross multiply
    3,000.39x = 4,503.47 × 1,462.47
  4. Step 4: Simplify right side
    3,000.39x = 6,586,182.46
  5. Step 5: Solve for x
    x = 6,586,182.46/3,000.39
  6. Step 6: Final answer
    x = 2,195.11

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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.