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Finding the Fourth Proportional to 2,669.40, 3,683.17 and 1,915.56

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Solution

The fourth proportional to 2,669.40, 3,683.17 and 1,915.56 is: 2,643.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.40 : 3,683.17 = 1,915.56 : x
  2. Step 2: Convert to fraction form
    2,669.40/3,683.17 = 1,915.56/x
  3. Step 3: Cross multiply
    2,669.40x = 3,683.17 × 1,915.56
  4. Step 4: Simplify right side
    2,669.40x = 7,055,333.13
  5. Step 5: Solve for x
    x = 7,055,333.13/2,669.40
  6. Step 6: Final answer
    x = 2,643.04

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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.