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Finding the Fourth Proportional to 2,707.68, 4,061.94 and 976.71

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Solution

The fourth proportional to 2,707.68, 4,061.94 and 976.71 is: 1,465.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.68 : 4,061.94 = 976.71 : x
  2. Step 2: Convert to fraction form
    2,707.68/4,061.94 = 976.71/x
  3. Step 3: Cross multiply
    2,707.68x = 4,061.94 × 976.71
  4. Step 4: Simplify right side
    2,707.68x = 3,967,337.42
  5. Step 5: Solve for x
    x = 3,967,337.42/2,707.68
  6. Step 6: Final answer
    x = 1,465.22

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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.