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Finding the Fourth Proportional to 2,643.41, 3,640.51 and 2,586.02

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Solution

The fourth proportional to 2,643.41, 3,640.51 and 2,586.02 is: 3,561.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.41 : 3,640.51 = 2,586.02 : x
  2. Step 2: Convert to fraction form
    2,643.41/3,640.51 = 2,586.02/x
  3. Step 3: Cross multiply
    2,643.41x = 3,640.51 × 2,586.02
  4. Step 4: Simplify right side
    2,643.41x = 9,414,416.70
  5. Step 5: Solve for x
    x = 9,414,416.70/2,643.41
  6. Step 6: Final answer
    x = 3,561.46

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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.