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Finding the Fourth Proportional to 1,649.58, 2,275.77 and 950.82

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Solution

The fourth proportional to 1,649.58, 2,275.77 and 950.82 is: 1,311.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.58 : 2,275.77 = 950.82 : x
  2. Step 2: Convert to fraction form
    1,649.58/2,275.77 = 950.82/x
  3. Step 3: Cross multiply
    1,649.58x = 2,275.77 × 950.82
  4. Step 4: Simplify right side
    1,649.58x = 2,163,847.63
  5. Step 5: Solve for x
    x = 2,163,847.63/1,649.58
  6. Step 6: Final answer
    x = 1,311.76

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1.5x scale

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.