Home / 2,001.48-3,002.67-702.96

Finding the Fourth Proportional to 2,001.48, 3,002.67 and 702.96

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Solution

The fourth proportional to 2,001.48, 3,002.67 and 702.96 is: 1,054.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.48 : 3,002.67 = 702.96 : x
  2. Step 2: Convert to fraction form
    2,001.48/3,002.67 = 702.96/x
  3. Step 3: Cross multiply
    2,001.48x = 3,002.67 × 702.96
  4. Step 4: Simplify right side
    2,001.48x = 2,110,756.90
  5. Step 5: Solve for x
    x = 2,110,756.90/2,001.48
  6. Step 6: Final answer
    x = 1,054.60

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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.