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Finding the Fourth Proportional to 2,842.59, 4,264.46 and 1,199.14

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Solution

The fourth proportional to 2,842.59, 4,264.46 and 1,199.14 is: 1,798.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.59 : 4,264.46 = 1,199.14 : x
  2. Step 2: Convert to fraction form
    2,842.59/4,264.46 = 1,199.14/x
  3. Step 3: Cross multiply
    2,842.59x = 4,264.46 × 1,199.14
  4. Step 4: Simplify right side
    2,842.59x = 5,113,684.56
  5. Step 5: Solve for x
    x = 5,113,684.56/2,842.59
  6. Step 6: Final answer
    x = 1,798.95

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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.