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Finding the Fourth Proportional to 2,343.68, 3,517.44 and 976.64

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Solution

The fourth proportional to 2,343.68, 3,517.44 and 976.64 is: 1,465.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.68 : 3,517.44 = 976.64 : x
  2. Step 2: Convert to fraction form
    2,343.68/3,517.44 = 976.64/x
  3. Step 3: Cross multiply
    2,343.68x = 3,517.44 × 976.64
  4. Step 4: Simplify right side
    2,343.68x = 3,435,272.60
  5. Step 5: Solve for x
    x = 3,435,272.60/2,343.68
  6. Step 6: Final answer
    x = 1,465.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.