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Finding the Fourth Proportional to 2,771.91, 4,156.64 and 1,039.32

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Solution

The fourth proportional to 2,771.91, 4,156.64 and 1,039.32 is: 1,558.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.91 : 4,156.64 = 1,039.32 : x
  2. Step 2: Convert to fraction form
    2,771.91/4,156.64 = 1,039.32/x
  3. Step 3: Cross multiply
    2,771.91x = 4,156.64 × 1,039.32
  4. Step 4: Simplify right side
    2,771.91x = 4,320,053.11
  5. Step 5: Solve for x
    x = 4,320,053.11/2,771.91
  6. Step 6: Final answer
    x = 1,558.51

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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.