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Finding the Fourth Proportional to 2,696.16, 3,720.80 and 1,517.60

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Solution

The fourth proportional to 2,696.16, 3,720.80 and 1,517.60 is: 2,094.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.16 : 3,720.80 = 1,517.60 : x
  2. Step 2: Convert to fraction form
    2,696.16/3,720.80 = 1,517.60/x
  3. Step 3: Cross multiply
    2,696.16x = 3,720.80 × 1,517.60
  4. Step 4: Simplify right side
    2,696.16x = 5,646,686.08
  5. Step 5: Solve for x
    x = 5,646,686.08/2,696.16
  6. Step 6: Final answer
    x = 2,094.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.