Home / 1,742.06-2,614.12-702.56

Finding the Fourth Proportional to 1,742.06, 2,614.12 and 702.56

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Solution

The fourth proportional to 1,742.06, 2,614.12 and 702.56 is: 1,054.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.06 : 2,614.12 = 702.56 : x
  2. Step 2: Convert to fraction form
    1,742.06/2,614.12 = 702.56/x
  3. Step 3: Cross multiply
    1,742.06x = 2,614.12 × 702.56
  4. Step 4: Simplify right side
    1,742.06x = 1,836,576.15
  5. Step 5: Solve for x
    x = 1,836,576.15/1,742.06
  6. Step 6: Final answer
    x = 1,054.26

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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.