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Finding the Fourth Proportional to 2,696.16, 4,044.32 and 748.36

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Solution

The fourth proportional to 2,696.16, 4,044.32 and 748.36 is: 1,122.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.16 : 4,044.32 = 748.36 : x
  2. Step 2: Convert to fraction form
    2,696.16/4,044.32 = 748.36/x
  3. Step 3: Cross multiply
    2,696.16x = 4,044.32 × 748.36
  4. Step 4: Simplify right side
    2,696.16x = 3,026,607.32
  5. Step 5: Solve for x
    x = 3,026,607.32/2,696.16
  6. Step 6: Final answer
    x = 1,122.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.