Home / 2,166.14-3,248.46-705.02

Finding the Fourth Proportional to 2,166.14, 3,248.46 and 705.02

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Solution

The fourth proportional to 2,166.14, 3,248.46 and 705.02 is: 1,057.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.14 : 3,248.46 = 705.02 : x
  2. Step 2: Convert to fraction form
    2,166.14/3,248.46 = 705.02/x
  3. Step 3: Cross multiply
    2,166.14x = 3,248.46 × 705.02
  4. Step 4: Simplify right side
    2,166.14x = 2,290,229.27
  5. Step 5: Solve for x
    x = 2,290,229.27/2,166.14
  6. Step 6: Final answer
    x = 1,057.29

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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.