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Finding the Fourth Proportional to 3,148.62, 4,345.10 and 1,751.38

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Solution

The fourth proportional to 3,148.62, 4,345.10 and 1,751.38 is: 2,416.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148.62 : 4,345.10 = 1,751.38 : x
  2. Step 2: Convert to fraction form
    3,148.62/4,345.10 = 1,751.38/x
  3. Step 3: Cross multiply
    3,148.62x = 4,345.10 × 1,751.38
  4. Step 4: Simplify right side
    3,148.62x = 7,609,921.24
  5. Step 5: Solve for x
    x = 7,609,921.24/3,148.62
  6. Step 6: Final answer
    x = 2,416.91

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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.