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Finding the Fourth Proportional to 2,842.88, 4,264.64 and 1,199.12

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Solution

The fourth proportional to 2,842.88, 4,264.64 and 1,199.12 is: 1,798.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.88 : 4,264.64 = 1,199.12 : x
  2. Step 2: Convert to fraction form
    2,842.88/4,264.64 = 1,199.12/x
  3. Step 3: Cross multiply
    2,842.88x = 4,264.64 × 1,199.12
  4. Step 4: Simplify right side
    2,842.88x = 5,113,815.12
  5. Step 5: Solve for x
    x = 5,113,815.12/2,842.88
  6. Step 6: Final answer
    x = 1,798.81

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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.