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Finding the Fourth Proportional to 2,484.84, 3,725.10 and 1,251.21

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Solution

The fourth proportional to 2,484.84, 3,725.10 and 1,251.21 is: 1,875.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484.84 : 3,725.10 = 1,251.21 : x
  2. Step 2: Convert to fraction form
    2,484.84/3,725.10 = 1,251.21/x
  3. Step 3: Cross multiply
    2,484.84x = 3,725.10 × 1,251.21
  4. Step 4: Simplify right side
    2,484.84x = 4,660,882.37
  5. Step 5: Solve for x
    x = 4,660,882.37/2,484.84
  6. Step 6: Final answer
    x = 1,875.73

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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.