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Finding the Fourth Proportional to 2,661, 3,672.17 and 1,482.35

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Solution

The fourth proportional to 2,661, 3,672.17 and 1,482.35 is: 2,045.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661 : 3,672.17 = 1,482.35 : x
  2. Step 2: Convert to fraction form
    2,661/3,672.17 = 1,482.35/x
  3. Step 3: Cross multiply
    2,661x = 3,672.17 × 1,482.35
  4. Step 4: Simplify right side
    2,661x = 5,443,422.84
  5. Step 5: Solve for x
    x = 5,443,422.84/2,661
  6. Step 6: Final answer
    x = 2,045.63

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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.