Home / 1,535.31-2,118.96-946.08

Finding the Fourth Proportional to 1,535.31, 2,118.96 and 946.08

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Solution

The fourth proportional to 1,535.31, 2,118.96 and 946.08 is: 1,305.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.31 : 2,118.96 = 946.08 : x
  2. Step 2: Convert to fraction form
    1,535.31/2,118.96 = 946.08/x
  3. Step 3: Cross multiply
    1,535.31x = 2,118.96 × 946.08
  4. Step 4: Simplify right side
    1,535.31x = 2,004,705.68
  5. Step 5: Solve for x
    x = 2,004,705.68/1,535.31
  6. Step 6: Final answer
    x = 1,305.73

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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.