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Finding the Fourth Proportional to 2,257.15, 3,385.83 and 870.03

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Solution

The fourth proportional to 2,257.15, 3,385.83 and 870.03 is: 1,305.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.15 : 3,385.83 = 870.03 : x
  2. Step 2: Convert to fraction form
    2,257.15/3,385.83 = 870.03/x
  3. Step 3: Cross multiply
    2,257.15x = 3,385.83 × 870.03
  4. Step 4: Simplify right side
    2,257.15x = 2,945,773.67
  5. Step 5: Solve for x
    x = 2,945,773.67/2,257.15
  6. Step 6: Final answer
    x = 1,305.09

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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.