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Finding the Fourth Proportional to 3,254, 4,490.51 and 1,761.92

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Solution

The fourth proportional to 3,254, 4,490.51 and 1,761.92 is: 2,431.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254 : 4,490.51 = 1,761.92 : x
  2. Step 2: Convert to fraction form
    3,254/4,490.51 = 1,761.92/x
  3. Step 3: Cross multiply
    3,254x = 4,490.51 × 1,761.92
  4. Step 4: Simplify right side
    3,254x = 7,911,919.38
  5. Step 5: Solve for x
    x = 7,911,919.38/3,254
  6. Step 6: Final answer
    x = 2,431.44

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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.