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Finding the Fourth Proportional to 2,166.98, 3,250.78 and 705.77

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Solution

The fourth proportional to 2,166.98, 3,250.78 and 705.77 is: 1,058.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.98 : 3,250.78 = 705.77 : x
  2. Step 2: Convert to fraction form
    2,166.98/3,250.78 = 705.77/x
  3. Step 3: Cross multiply
    2,166.98x = 3,250.78 × 705.77
  4. Step 4: Simplify right side
    2,166.98x = 2,294,284.98
  5. Step 5: Solve for x
    x = 2,294,284.98/2,166.98
  6. Step 6: Final answer
    x = 1,058.75

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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.