Home / 1,535.12-2,118.35-871.97

Finding the Fourth Proportional to 1,535.12, 2,118.35 and 871.97

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Solution

The fourth proportional to 1,535.12, 2,118.35 and 871.97 is: 1,203.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.12 : 2,118.35 = 871.97 : x
  2. Step 2: Convert to fraction form
    1,535.12/2,118.35 = 871.97/x
  3. Step 3: Cross multiply
    1,535.12x = 2,118.35 × 871.97
  4. Step 4: Simplify right side
    1,535.12x = 1,847,145.13
  5. Step 5: Solve for x
    x = 1,847,145.13/1,535.12
  6. Step 6: Final answer
    x = 1,203.26

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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.