Home / 2,002.02-3,001.77-1,026.78

Finding the Fourth Proportional to 2,002.02, 3,001.77 and 1,026.78

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Solution

The fourth proportional to 2,002.02, 3,001.77 and 1,026.78 is: 1,539.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.02 : 3,001.77 = 1,026.78 : x
  2. Step 2: Convert to fraction form
    2,002.02/3,001.77 = 1,026.78/x
  3. Step 3: Cross multiply
    2,002.02x = 3,001.77 × 1,026.78
  4. Step 4: Simplify right side
    2,002.02x = 3,082,157.40
  5. Step 5: Solve for x
    x = 3,082,157.40/2,002.02
  6. Step 6: Final answer
    x = 1,539.52

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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.