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Finding the Fourth Proportional to 2,247, 3,101.18 and 2,148.60

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Solution

The fourth proportional to 2,247, 3,101.18 and 2,148.60 is: 2,965.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247 : 3,101.18 = 2,148.60 : x
  2. Step 2: Convert to fraction form
    2,247/3,101.18 = 2,148.60/x
  3. Step 3: Cross multiply
    2,247x = 3,101.18 × 2,148.60
  4. Step 4: Simplify right side
    2,247x = 6,663,195.35
  5. Step 5: Solve for x
    x = 6,663,195.35/2,247
  6. Step 6: Final answer
    x = 2,965.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.