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Finding the Fourth Proportional to 2,265.87, 3,399.34 and 705.80

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Solution

The fourth proportional to 2,265.87, 3,399.34 and 705.80 is: 1,058.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.87 : 3,399.34 = 705.80 : x
  2. Step 2: Convert to fraction form
    2,265.87/3,399.34 = 705.80/x
  3. Step 3: Cross multiply
    2,265.87x = 3,399.34 × 705.80
  4. Step 4: Simplify right side
    2,265.87x = 2,399,254.17
  5. Step 5: Solve for x
    x = 2,399,254.17/2,265.87
  6. Step 6: Final answer
    x = 1,058.87

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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.