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Finding the Fourth Proportional to 2,941.91, 4,411.47 and 1,709.66

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Solution

The fourth proportional to 2,941.91, 4,411.47 and 1,709.66 is: 2,563.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,941.91 : 4,411.47 = 1,709.66 : x
  2. Step 2: Convert to fraction form
    2,941.91/4,411.47 = 1,709.66/x
  3. Step 3: Cross multiply
    2,941.91x = 4,411.47 × 1,709.66
  4. Step 4: Simplify right side
    2,941.91x = 7,542,091.74
  5. Step 5: Solve for x
    x = 7,542,091.74/2,941.91
  6. Step 6: Final answer
    x = 2,563.68

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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.