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Finding the Fourth Proportional to 3,246.89, 4,867.40 and 1,166.40

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Solution

The fourth proportional to 3,246.89, 4,867.40 and 1,166.40 is: 1,748.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,246.89 : 4,867.40 = 1,166.40 : x
  2. Step 2: Convert to fraction form
    3,246.89/4,867.40 = 1,166.40/x
  3. Step 3: Cross multiply
    3,246.89x = 4,867.40 × 1,166.40
  4. Step 4: Simplify right side
    3,246.89x = 5,677,329.53
  5. Step 5: Solve for x
    x = 5,677,329.53/3,246.89
  6. Step 6: Final answer
    x = 1,748.55

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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.