Home / 1,704.32-2,557.25-826.66

Finding the Fourth Proportional to 1,704.32, 2,557.25 and 826.66

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Solution

The fourth proportional to 1,704.32, 2,557.25 and 826.66 is: 1,240.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.32 : 2,557.25 = 826.66 : x
  2. Step 2: Convert to fraction form
    1,704.32/2,557.25 = 826.66/x
  3. Step 3: Cross multiply
    1,704.32x = 2,557.25 × 826.66
  4. Step 4: Simplify right side
    1,704.32x = 2,113,979.11
  5. Step 5: Solve for x
    x = 2,113,979.11/1,704.32
  6. Step 6: Final answer
    x = 1,240.36

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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.