Home / 2,089.16-3,133.40-702.26

Finding the Fourth Proportional to 2,089.16, 3,133.40 and 702.26

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Solution

The fourth proportional to 2,089.16, 3,133.40 and 702.26 is: 1,053.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.16 : 3,133.40 = 702.26 : x
  2. Step 2: Convert to fraction form
    2,089.16/3,133.40 = 702.26/x
  3. Step 3: Cross multiply
    2,089.16x = 3,133.40 × 702.26
  4. Step 4: Simplify right side
    2,089.16x = 2,200,461.48
  5. Step 5: Solve for x
    x = 2,200,461.48/2,089.16
  6. Step 6: Final answer
    x = 1,053.28

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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.