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Finding the Fourth Proportional to 2,166.95, 3,250.33 and 585.73

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Solution

The fourth proportional to 2,166.95, 3,250.33 and 585.73 is: 878.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.95 : 3,250.33 = 585.73 : x
  2. Step 2: Convert to fraction form
    2,166.95/3,250.33 = 585.73/x
  3. Step 3: Cross multiply
    2,166.95x = 3,250.33 × 585.73
  4. Step 4: Simplify right side
    2,166.95x = 1,903,818.39
  5. Step 5: Solve for x
    x = 1,903,818.39/2,166.95
  6. Step 6: Final answer
    x = 878.57

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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.