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Finding the Fourth Proportional to 2,849.64, 4,274.58 and 1,118.64

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Solution

The fourth proportional to 2,849.64, 4,274.58 and 1,118.64 is: 1,678.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,849.64 : 4,274.58 = 1,118.64 : x
  2. Step 2: Convert to fraction form
    2,849.64/4,274.58 = 1,118.64/x
  3. Step 3: Cross multiply
    2,849.64x = 4,274.58 × 1,118.64
  4. Step 4: Simplify right side
    2,849.64x = 4,781,716.17
  5. Step 5: Solve for x
    x = 4,781,716.17/2,849.64
  6. Step 6: Final answer
    x = 1,678.01

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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.