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Finding the Fourth Proportional to 1,640.63, 2,264.00 and 932.38

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Solution

The fourth proportional to 1,640.63, 2,264.00 and 932.38 is: 1,286.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.63 : 2,264.00 = 932.38 : x
  2. Step 2: Convert to fraction form
    1,640.63/2,264.00 = 932.38/x
  3. Step 3: Cross multiply
    1,640.63x = 2,264.00 × 932.38
  4. Step 4: Simplify right side
    1,640.63x = 2,110,898.00
  5. Step 5: Solve for x
    x = 2,110,898.00/1,640.63
  6. Step 6: Final answer
    x = 1,286.64

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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.