Home / 2,456.16-3,684.80-724.72

Finding the Fourth Proportional to 2,456.16, 3,684.80 and 724.72

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Solution

The fourth proportional to 2,456.16, 3,684.80 and 724.72 is: 1,087.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.16 : 3,684.80 = 724.72 : x
  2. Step 2: Convert to fraction form
    2,456.16/3,684.80 = 724.72/x
  3. Step 3: Cross multiply
    2,456.16x = 3,684.80 × 724.72
  4. Step 4: Simplify right side
    2,456.16x = 2,670,448.26
  5. Step 5: Solve for x
    x = 2,670,448.26/2,456.16
  6. Step 6: Final answer
    x = 1,087.25

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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.