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Finding the Fourth Proportional to 2,069.25, 2,856.18 and 1,649.45

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Solution

The fourth proportional to 2,069.25, 2,856.18 and 1,649.45 is: 2,276.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.25 : 2,856.18 = 1,649.45 : x
  2. Step 2: Convert to fraction form
    2,069.25/2,856.18 = 1,649.45/x
  3. Step 3: Cross multiply
    2,069.25x = 2,856.18 × 1,649.45
  4. Step 4: Simplify right side
    2,069.25x = 4,711,126.10
  5. Step 5: Solve for x
    x = 4,711,126.10/2,069.25
  6. Step 6: Final answer
    x = 2,276.73

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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.