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Finding the Fourth Proportional to 3,167.76, 4,752.60 and 2,245.11

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Solution

The fourth proportional to 3,167.76, 4,752.60 and 2,245.11 is: 3,368.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.76 : 4,752.60 = 2,245.11 : x
  2. Step 2: Convert to fraction form
    3,167.76/4,752.60 = 2,245.11/x
  3. Step 3: Cross multiply
    3,167.76x = 4,752.60 × 2,245.11
  4. Step 4: Simplify right side
    3,167.76x = 10,670,109.79
  5. Step 5: Solve for x
    x = 10,670,109.79/3,167.76
  6. Step 6: Final answer
    x = 3,368.35

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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.