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Finding the Fourth Proportional to 2,169.99, 3,255.93 and 937.10

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Solution

The fourth proportional to 2,169.99, 3,255.93 and 937.10 is: 1,406.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.99 : 3,255.93 = 937.10 : x
  2. Step 2: Convert to fraction form
    2,169.99/3,255.93 = 937.10/x
  3. Step 3: Cross multiply
    2,169.99x = 3,255.93 × 937.10
  4. Step 4: Simplify right side
    2,169.99x = 3,051,140.14
  5. Step 5: Solve for x
    x = 3,051,140.14/2,169.99
  6. Step 6: Final answer
    x = 1,406.06

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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.