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Finding the Fourth Proportional to 3,261.25, 4,500.66 and 1,864

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Solution

The fourth proportional to 3,261.25, 4,500.66 and 1,864 is: 2,572.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,261.25 : 4,500.66 = 1,864 : x
  2. Step 2: Convert to fraction form
    3,261.25/4,500.66 = 1,864/x
  3. Step 3: Cross multiply
    3,261.25x = 4,500.66 × 1,864
  4. Step 4: Simplify right side
    3,261.25x = 8,389,230.24
  5. Step 5: Solve for x
    x = 8,389,230.24/3,261.25
  6. Step 6: Final answer
    x = 2,572.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.