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Finding the Fourth Proportional to 1,649.51, 2,474.72 and 826.79

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Solution

The fourth proportional to 1,649.51, 2,474.72 and 826.79 is: 1,240.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.51 : 2,474.72 = 826.79 : x
  2. Step 2: Convert to fraction form
    1,649.51/2,474.72 = 826.79/x
  3. Step 3: Cross multiply
    1,649.51x = 2,474.72 × 826.79
  4. Step 4: Simplify right side
    1,649.51x = 2,046,073.75
  5. Step 5: Solve for x
    x = 2,046,073.75/1,649.51
  6. Step 6: Final answer
    x = 1,240.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.