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Finding the Fourth Proportional to 2,167.83, 3,250.40 and 706.77

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Solution

The fourth proportional to 2,167.83, 3,250.40 and 706.77 is: 1,059.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.83 : 3,250.40 = 706.77 : x
  2. Step 2: Convert to fraction form
    2,167.83/3,250.40 = 706.77/x
  3. Step 3: Cross multiply
    2,167.83x = 3,250.40 × 706.77
  4. Step 4: Simplify right side
    2,167.83x = 2,297,281.67
  5. Step 5: Solve for x
    x = 2,297,281.67/2,167.83
  6. Step 6: Final answer
    x = 1,059.71

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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.