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Finding the Fourth Proportional to 1,649.10, 2,275.64 and 950.48

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Solution

The fourth proportional to 1,649.10, 2,275.64 and 950.48 is: 1,311.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.10 : 2,275.64 = 950.48 : x
  2. Step 2: Convert to fraction form
    1,649.10/2,275.64 = 950.48/x
  3. Step 3: Cross multiply
    1,649.10x = 2,275.64 × 950.48
  4. Step 4: Simplify right side
    1,649.10x = 2,162,950.31
  5. Step 5: Solve for x
    x = 2,162,950.31/1,649.10
  6. Step 6: Final answer
    x = 1,311.59

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Why These Related Problems?

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