Home / 2,077.26-3,117.30-1,585.18

Finding the Fourth Proportional to 2,077.26, 3,117.30 and 1,585.18

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Solution

The fourth proportional to 2,077.26, 3,117.30 and 1,585.18 is: 2,378.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.26 : 3,117.30 = 1,585.18 : x
  2. Step 2: Convert to fraction form
    2,077.26/3,117.30 = 1,585.18/x
  3. Step 3: Cross multiply
    2,077.26x = 3,117.30 × 1,585.18
  4. Step 4: Simplify right side
    2,077.26x = 4,941,481.61
  5. Step 5: Solve for x
    x = 4,941,481.61/2,077.26
  6. Step 6: Final answer
    x = 2,378.85

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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.