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Finding the Fourth Proportional to 2,708.18, 4,062.27 and 976.81

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Solution

The fourth proportional to 2,708.18, 4,062.27 and 976.81 is: 1,465.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.18 : 4,062.27 = 976.81 : x
  2. Step 2: Convert to fraction form
    2,708.18/4,062.27 = 976.81/x
  3. Step 3: Cross multiply
    2,708.18x = 4,062.27 × 976.81
  4. Step 4: Simplify right side
    2,708.18x = 3,968,045.65
  5. Step 5: Solve for x
    x = 3,968,045.65/2,708.18
  6. Step 6: Final answer
    x = 1,465.21

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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.