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Finding the Fourth Proportional to 2,548, 3,516.38 and 1,500.40

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Solution

The fourth proportional to 2,548, 3,516.38 and 1,500.40 is: 2,070.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548 : 3,516.38 = 1,500.40 : x
  2. Step 2: Convert to fraction form
    2,548/3,516.38 = 1,500.40/x
  3. Step 3: Cross multiply
    2,548x = 3,516.38 × 1,500.40
  4. Step 4: Simplify right side
    2,548x = 5,275,976.55
  5. Step 5: Solve for x
    x = 5,275,976.55/2,548
  6. Step 6: Final answer
    x = 2,070.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.