Home / 2,185.12-3,276.40-724.16

Finding the Fourth Proportional to 2,185.12, 3,276.40 and 724.16

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Solution

The fourth proportional to 2,185.12, 3,276.40 and 724.16 is: 1,085.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.12 : 3,276.40 = 724.16 : x
  2. Step 2: Convert to fraction form
    2,185.12/3,276.40 = 724.16/x
  3. Step 3: Cross multiply
    2,185.12x = 3,276.40 × 724.16
  4. Step 4: Simplify right side
    2,185.12x = 2,372,637.82
  5. Step 5: Solve for x
    x = 2,372,637.82/2,185.12
  6. Step 6: Final answer
    x = 1,085.82

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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.