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Finding the Fourth Proportional to 2,599.67, 3,899.98 and 1,194.18

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Solution

The fourth proportional to 2,599.67, 3,899.98 and 1,194.18 is: 1,791.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.67 : 3,899.98 = 1,194.18 : x
  2. Step 2: Convert to fraction form
    2,599.67/3,899.98 = 1,194.18/x
  3. Step 3: Cross multiply
    2,599.67x = 3,899.98 × 1,194.18
  4. Step 4: Simplify right side
    2,599.67x = 4,657,264.98
  5. Step 5: Solve for x
    x = 4,657,264.98/2,599.67
  6. Step 6: Final answer
    x = 1,791.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.