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Finding the Fourth Proportional to 2,857.42, 4,284.02 and 1,212.92

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Solution

The fourth proportional to 2,857.42, 4,284.02 and 1,212.92 is: 1,818.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.42 : 4,284.02 = 1,212.92 : x
  2. Step 2: Convert to fraction form
    2,857.42/4,284.02 = 1,212.92/x
  3. Step 3: Cross multiply
    2,857.42x = 4,284.02 × 1,212.92
  4. Step 4: Simplify right side
    2,857.42x = 5,196,173.54
  5. Step 5: Solve for x
    x = 5,196,173.54/2,857.42
  6. Step 6: Final answer
    x = 1,818.48

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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.