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Finding the Fourth Proportional to 2,864.30, 4,297.80 and 2,135.30

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Solution

The fourth proportional to 2,864.30, 4,297.80 and 2,135.30 is: 3,203.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.30 : 4,297.80 = 2,135.30 : x
  2. Step 2: Convert to fraction form
    2,864.30/4,297.80 = 2,135.30/x
  3. Step 3: Cross multiply
    2,864.30x = 4,297.80 × 2,135.30
  4. Step 4: Simplify right side
    2,864.30x = 9,177,092.34
  5. Step 5: Solve for x
    x = 9,177,092.34/2,864.30
  6. Step 6: Final answer
    x = 3,203.96

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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.