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Finding the Fourth Proportional to 3,040.62, 4,547.97 and 1,867.74

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Solution

The fourth proportional to 3,040.62, 4,547.97 and 1,867.74 is: 2,793.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,040.62 : 4,547.97 = 1,867.74 : x
  2. Step 2: Convert to fraction form
    3,040.62/4,547.97 = 1,867.74/x
  3. Step 3: Cross multiply
    3,040.62x = 4,547.97 × 1,867.74
  4. Step 4: Simplify right side
    3,040.62x = 8,494,425.49
  5. Step 5: Solve for x
    x = 8,494,425.49/3,040.62
  6. Step 6: Final answer
    x = 2,793.65

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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.