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Finding the Fourth Proportional to 1,630.70, 2,462.65 and 1,630.70

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Solution

The fourth proportional to 1,630.70, 2,462.65 and 1,630.70 is: 2,462.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.70 : 2,462.65 = 1,630.70 : x
  2. Step 2: Convert to fraction form
    1,630.70/2,462.65 = 1,630.70/x
  3. Step 3: Cross multiply
    1,630.70x = 2,462.65 × 1,630.70
  4. Step 4: Simplify right side
    1,630.70x = 4,015,843.36
  5. Step 5: Solve for x
    x = 4,015,843.36/1,630.70
  6. Step 6: Final answer
    x = 2,462.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.