Home / 2,001.08-3,002.12-1,968

Finding the Fourth Proportional to 2,001.08, 3,002.12 and 1,968

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Solution

The fourth proportional to 2,001.08, 3,002.12 and 1,968 is: 2,952.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.08 : 3,002.12 = 1,968 : x
  2. Step 2: Convert to fraction form
    2,001.08/3,002.12 = 1,968/x
  3. Step 3: Cross multiply
    2,001.08x = 3,002.12 × 1,968
  4. Step 4: Simplify right side
    2,001.08x = 5,908,172.16
  5. Step 5: Solve for x
    x = 5,908,172.16/2,001.08
  6. Step 6: Final answer
    x = 2,952.49

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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.