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Finding the Fourth Proportional to 2,367.60, 3,548.66 and 1,118.99

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Solution

The fourth proportional to 2,367.60, 3,548.66 and 1,118.99 is: 1,677.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.60 : 3,548.66 = 1,118.99 : x
  2. Step 2: Convert to fraction form
    2,367.60/3,548.66 = 1,118.99/x
  3. Step 3: Cross multiply
    2,367.60x = 3,548.66 × 1,118.99
  4. Step 4: Simplify right side
    2,367.60x = 3,970,891.72
  5. Step 5: Solve for x
    x = 3,970,891.72/2,367.60
  6. Step 6: Final answer
    x = 1,677.18

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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.