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Finding the Fourth Proportional to 1,649.24, 2,275.66 and 950.48

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Solution

The fourth proportional to 1,649.24, 2,275.66 and 950.48 is: 1,311.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.24 : 2,275.66 = 950.48 : x
  2. Step 2: Convert to fraction form
    1,649.24/2,275.66 = 950.48/x
  3. Step 3: Cross multiply
    1,649.24x = 2,275.66 × 950.48
  4. Step 4: Simplify right side
    1,649.24x = 2,162,969.32
  5. Step 5: Solve for x
    x = 2,162,969.32/1,649.24
  6. Step 6: Final answer
    x = 1,311.49

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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.