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Finding the Fourth Proportional to 2,696.64, 4,044.93 and 695.33

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Solution

The fourth proportional to 2,696.64, 4,044.93 and 695.33 is: 1,042.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.64 : 4,044.93 = 695.33 : x
  2. Step 2: Convert to fraction form
    2,696.64/4,044.93 = 695.33/x
  3. Step 3: Cross multiply
    2,696.64x = 4,044.93 × 695.33
  4. Step 4: Simplify right side
    2,696.64x = 2,812,540.95
  5. Step 5: Solve for x
    x = 2,812,540.95/2,696.64
  6. Step 6: Final answer
    x = 1,042.98

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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.