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Finding the Fourth Proportional to 2,696.02, 3,718.49 and 2,380.72

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Solution

The fourth proportional to 2,696.02, 3,718.49 and 2,380.72 is: 3,283.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.02 : 3,718.49 = 2,380.72 : x
  2. Step 2: Convert to fraction form
    2,696.02/3,718.49 = 2,380.72/x
  3. Step 3: Cross multiply
    2,696.02x = 3,718.49 × 2,380.72
  4. Step 4: Simplify right side
    2,696.02x = 8,852,683.51
  5. Step 5: Solve for x
    x = 8,852,683.51/2,696.02
  6. Step 6: Final answer
    x = 3,283.62

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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.