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Finding the Fourth Proportional to 2,696.10, 4,044.40 and 964.74

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Solution

The fourth proportional to 2,696.10, 4,044.40 and 964.74 is: 1,447.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.10 : 4,044.40 = 964.74 : x
  2. Step 2: Convert to fraction form
    2,696.10/4,044.40 = 964.74/x
  3. Step 3: Cross multiply
    2,696.10x = 4,044.40 × 964.74
  4. Step 4: Simplify right side
    2,696.10x = 3,901,794.46
  5. Step 5: Solve for x
    x = 3,901,794.46/2,696.10
  6. Step 6: Final answer
    x = 1,447.20

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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.