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Finding the Fourth Proportional to 2,857.02, 4,285.49 and 909.20

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Solution

The fourth proportional to 2,857.02, 4,285.49 and 909.20 is: 1,363.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.02 : 4,285.49 = 909.20 : x
  2. Step 2: Convert to fraction form
    2,857.02/4,285.49 = 909.20/x
  3. Step 3: Cross multiply
    2,857.02x = 4,285.49 × 909.20
  4. Step 4: Simplify right side
    2,857.02x = 3,896,341.53
  5. Step 5: Solve for x
    x = 3,896,341.53/2,857.02
  6. Step 6: Final answer
    x = 1,363.78

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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.