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Finding the Fourth Proportional to 3,443.48, 4,750.62 and 1,951

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Solution

The fourth proportional to 3,443.48, 4,750.62 and 1,951 is: 2,691.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443.48 : 4,750.62 = 1,951 : x
  2. Step 2: Convert to fraction form
    3,443.48/4,750.62 = 1,951/x
  3. Step 3: Cross multiply
    3,443.48x = 4,750.62 × 1,951
  4. Step 4: Simplify right side
    3,443.48x = 9,268,459.62
  5. Step 5: Solve for x
    x = 9,268,459.62/3,443.48
  6. Step 6: Final answer
    x = 2,691.60

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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.