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Finding the Fourth Proportional to 2,152.99, 2,965.17 and 2,041.75

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Solution

The fourth proportional to 2,152.99, 2,965.17 and 2,041.75 is: 2,811.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.99 : 2,965.17 = 2,041.75 : x
  2. Step 2: Convert to fraction form
    2,152.99/2,965.17 = 2,041.75/x
  3. Step 3: Cross multiply
    2,152.99x = 2,965.17 × 2,041.75
  4. Step 4: Simplify right side
    2,152.99x = 6,054,135.85
  5. Step 5: Solve for x
    x = 6,054,135.85/2,152.99
  6. Step 6: Final answer
    x = 2,811.97

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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.