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Finding the Fourth Proportional to 2,462.70, 3,694.80 and 1,476.61

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Solution

The fourth proportional to 2,462.70, 3,694.80 and 1,476.61 is: 2,215.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.70 : 3,694.80 = 1,476.61 : x
  2. Step 2: Convert to fraction form
    2,462.70/3,694.80 = 1,476.61/x
  3. Step 3: Cross multiply
    2,462.70x = 3,694.80 × 1,476.61
  4. Step 4: Simplify right side
    2,462.70x = 5,455,752.77
  5. Step 5: Solve for x
    x = 5,455,752.77/2,462.70
  6. Step 6: Final answer
    x = 2,215.35

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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.