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Finding the Fourth Proportional to 2,857.49, 4,281.60 and 1,468.90

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Solution

The fourth proportional to 2,857.49, 4,281.60 and 1,468.90 is: 2,200.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.49 : 4,281.60 = 1,468.90 : x
  2. Step 2: Convert to fraction form
    2,857.49/4,281.60 = 1,468.90/x
  3. Step 3: Cross multiply
    2,857.49x = 4,281.60 × 1,468.90
  4. Step 4: Simplify right side
    2,857.49x = 6,289,242.24
  5. Step 5: Solve for x
    x = 6,289,242.24/2,857.49
  6. Step 6: Final answer
    x = 2,200.97

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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.