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Finding the Fourth Proportional to 2,343.92, 3,516.88 and 1,248

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Solution

The fourth proportional to 2,343.92, 3,516.88 and 1,248 is: 1,872.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.92 : 3,516.88 = 1,248 : x
  2. Step 2: Convert to fraction form
    2,343.92/3,516.88 = 1,248/x
  3. Step 3: Cross multiply
    2,343.92x = 3,516.88 × 1,248
  4. Step 4: Simplify right side
    2,343.92x = 4,389,066.24
  5. Step 5: Solve for x
    x = 4,389,066.24/2,343.92
  6. Step 6: Final answer
    x = 1,872.53

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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.