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Finding the Fourth Proportional to 2,292.69, 3,439.81 and 976.39

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Solution

The fourth proportional to 2,292.69, 3,439.81 and 976.39 is: 1,464.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.69 : 3,439.81 = 976.39 : x
  2. Step 2: Convert to fraction form
    2,292.69/3,439.81 = 976.39/x
  3. Step 3: Cross multiply
    2,292.69x = 3,439.81 × 976.39
  4. Step 4: Simplify right side
    2,292.69x = 3,358,596.09
  5. Step 5: Solve for x
    x = 3,358,596.09/2,292.69
  6. Step 6: Final answer
    x = 1,464.92

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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.