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Finding the Fourth Proportional to 2,599.74, 3,586.71 and 1,716.18

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Solution

The fourth proportional to 2,599.74, 3,586.71 and 1,716.18 is: 2,367.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.74 : 3,586.71 = 1,716.18 : x
  2. Step 2: Convert to fraction form
    2,599.74/3,586.71 = 1,716.18/x
  3. Step 3: Cross multiply
    2,599.74x = 3,586.71 × 1,716.18
  4. Step 4: Simplify right side
    2,599.74x = 6,155,439.97
  5. Step 5: Solve for x
    x = 6,155,439.97/2,599.74
  6. Step 6: Final answer
    x = 2,367.71

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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.