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Finding the Fourth Proportional to 2,722.10, 3,756.43 and 1,587.99

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Solution

The fourth proportional to 2,722.10, 3,756.43 and 1,587.99 is: 2,191.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.10 : 3,756.43 = 1,587.99 : x
  2. Step 2: Convert to fraction form
    2,722.10/3,756.43 = 1,587.99/x
  3. Step 3: Cross multiply
    2,722.10x = 3,756.43 × 1,587.99
  4. Step 4: Simplify right side
    2,722.10x = 5,965,150.52
  5. Step 5: Solve for x
    x = 5,965,150.52/2,722.10
  6. Step 6: Final answer
    x = 2,191.38

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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.