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Finding the Fourth Proportional to 2,924.27, 4,386.43 and 976.47

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Solution

The fourth proportional to 2,924.27, 4,386.43 and 976.47 is: 1,464.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,924.27 : 4,386.43 = 976.47 : x
  2. Step 2: Convert to fraction form
    2,924.27/4,386.43 = 976.47/x
  3. Step 3: Cross multiply
    2,924.27x = 4,386.43 × 976.47
  4. Step 4: Simplify right side
    2,924.27x = 4,283,217.30
  5. Step 5: Solve for x
    x = 4,283,217.30/2,924.27
  6. Step 6: Final answer
    x = 1,464.72

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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.