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Finding the Fourth Proportional to 2,854.94, 4,284.58 and 1,212.64

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Solution

The fourth proportional to 2,854.94, 4,284.58 and 1,212.64 is: 1,819.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.94 : 4,284.58 = 1,212.64 : x
  2. Step 2: Convert to fraction form
    2,854.94/4,284.58 = 1,212.64/x
  3. Step 3: Cross multiply
    2,854.94x = 4,284.58 × 1,212.64
  4. Step 4: Simplify right side
    2,854.94x = 5,195,655.42
  5. Step 5: Solve for x
    x = 5,195,655.42/2,854.94
  6. Step 6: Final answer
    x = 1,819.88

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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.