Home / 2,057.08-3,083.61-1,314.42

Finding the Fourth Proportional to 2,057.08, 3,083.61 and 1,314.42

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Solution

The fourth proportional to 2,057.08, 3,083.61 and 1,314.42 is: 1,970.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.08 : 3,083.61 = 1,314.42 : x
  2. Step 2: Convert to fraction form
    2,057.08/3,083.61 = 1,314.42/x
  3. Step 3: Cross multiply
    2,057.08x = 3,083.61 × 1,314.42
  4. Step 4: Simplify right side
    2,057.08x = 4,053,158.66
  5. Step 5: Solve for x
    x = 4,053,158.66/2,057.08
  6. Step 6: Final answer
    x = 1,970.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.