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Finding the Fourth Proportional to 2,696.96, 4,046.52 and 848.36

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Solution

The fourth proportional to 2,696.96, 4,046.52 and 848.36 is: 1,272.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.96 : 4,046.52 = 848.36 : x
  2. Step 2: Convert to fraction form
    2,696.96/4,046.52 = 848.36/x
  3. Step 3: Cross multiply
    2,696.96x = 4,046.52 × 848.36
  4. Step 4: Simplify right side
    2,696.96x = 3,432,905.71
  5. Step 5: Solve for x
    x = 3,432,905.71/2,696.96
  6. Step 6: Final answer
    x = 1,272.88

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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.