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Finding the Fourth Proportional to 2,147.52, 2,964.90 and 1,649.19

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Solution

The fourth proportional to 2,147.52, 2,964.90 and 1,649.19 is: 2,276.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.52 : 2,964.90 = 1,649.19 : x
  2. Step 2: Convert to fraction form
    2,147.52/2,964.90 = 1,649.19/x
  3. Step 3: Cross multiply
    2,147.52x = 2,964.90 × 1,649.19
  4. Step 4: Simplify right side
    2,147.52x = 4,889,683.43
  5. Step 5: Solve for x
    x = 4,889,683.43/2,147.52
  6. Step 6: Final answer
    x = 2,276.90

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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.