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Finding the Fourth Proportional to 2,924.28, 4,387.12 and 976.64

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Solution

The fourth proportional to 2,924.28, 4,387.12 and 976.64 is: 1,465.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,924.28 : 4,387.12 = 976.64 : x
  2. Step 2: Convert to fraction form
    2,924.28/4,387.12 = 976.64/x
  3. Step 3: Cross multiply
    2,924.28x = 4,387.12 × 976.64
  4. Step 4: Simplify right side
    2,924.28x = 4,284,636.88
  5. Step 5: Solve for x
    x = 4,284,636.88/2,924.28
  6. Step 6: Final answer
    x = 1,465.19

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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.