Home / 2,204.12-3,041.84-1,456.78

Finding the Fourth Proportional to 2,204.12, 3,041.84 and 1,456.78

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Solution

The fourth proportional to 2,204.12, 3,041.84 and 1,456.78 is: 2,010.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.12 : 3,041.84 = 1,456.78 : x
  2. Step 2: Convert to fraction form
    2,204.12/3,041.84 = 1,456.78/x
  3. Step 3: Cross multiply
    2,204.12x = 3,041.84 × 1,456.78
  4. Step 4: Simplify right side
    2,204.12x = 4,431,269.18
  5. Step 5: Solve for x
    x = 4,431,269.18/2,204.12
  6. Step 6: Final answer
    x = 2,010.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.