Home / 2,705.16-3,734.05-1,586.46

Finding the Fourth Proportional to 2,705.16, 3,734.05 and 1,586.46

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Solution

The fourth proportional to 2,705.16, 3,734.05 and 1,586.46 is: 2,189.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.16 : 3,734.05 = 1,586.46 : x
  2. Step 2: Convert to fraction form
    2,705.16/3,734.05 = 1,586.46/x
  3. Step 3: Cross multiply
    2,705.16x = 3,734.05 × 1,586.46
  4. Step 4: Simplify right side
    2,705.16x = 5,923,920.96
  5. Step 5: Solve for x
    x = 5,923,920.96/2,705.16
  6. Step 6: Final answer
    x = 2,189.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.