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Finding the Fourth Proportional to 2,932, 4,046.28 and 1,690

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Solution

The fourth proportional to 2,932, 4,046.28 and 1,690 is: 2,332.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932 : 4,046.28 = 1,690 : x
  2. Step 2: Convert to fraction form
    2,932/4,046.28 = 1,690/x
  3. Step 3: Cross multiply
    2,932x = 4,046.28 × 1,690
  4. Step 4: Simplify right side
    2,932x = 6,838,213.20
  5. Step 5: Solve for x
    x = 6,838,213.20/2,932
  6. Step 6: Final answer
    x = 2,332.27

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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.