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Finding the Fourth Proportional to 2,708.24, 4,062.40 and 976.82

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Solution

The fourth proportional to 2,708.24, 4,062.40 and 976.82 is: 1,465.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.24 : 4,062.40 = 976.82 : x
  2. Step 2: Convert to fraction form
    2,708.24/4,062.40 = 976.82/x
  3. Step 3: Cross multiply
    2,708.24x = 4,062.40 × 976.82
  4. Step 4: Simplify right side
    2,708.24x = 3,968,233.57
  5. Step 5: Solve for x
    x = 3,968,233.57/2,708.24
  6. Step 6: Final answer
    x = 1,465.24

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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.