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Finding the Fourth Proportional to 2,857.94, 4,280.71 and 1,374.88

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Solution

The fourth proportional to 2,857.94, 4,280.71 and 1,374.88 is: 2,059.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.94 : 4,280.71 = 1,374.88 : x
  2. Step 2: Convert to fraction form
    2,857.94/4,280.71 = 1,374.88/x
  3. Step 3: Cross multiply
    2,857.94x = 4,280.71 × 1,374.88
  4. Step 4: Simplify right side
    2,857.94x = 5,885,434.29
  5. Step 5: Solve for x
    x = 5,885,434.29/2,857.94
  6. Step 6: Final answer
    x = 2,059.33

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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.