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Finding the Fourth Proportional to 2,252.34, 3,379.73 and 866.63

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Solution

The fourth proportional to 2,252.34, 3,379.73 and 866.63 is: 1,300.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.34 : 3,379.73 = 866.63 : x
  2. Step 2: Convert to fraction form
    2,252.34/3,379.73 = 866.63/x
  3. Step 3: Cross multiply
    2,252.34x = 3,379.73 × 866.63
  4. Step 4: Simplify right side
    2,252.34x = 2,928,979.53
  5. Step 5: Solve for x
    x = 2,928,979.53/2,252.34
  6. Step 6: Final answer
    x = 1,300.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.