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Finding the Fourth Proportional to 2,011.34, 2,777 and 1,256.27

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Solution

The fourth proportional to 2,011.34, 2,777 and 1,256.27 is: 1,734.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.34 : 2,777 = 1,256.27 : x
  2. Step 2: Convert to fraction form
    2,011.34/2,777 = 1,256.27/x
  3. Step 3: Cross multiply
    2,011.34x = 2,777 × 1,256.27
  4. Step 4: Simplify right side
    2,011.34x = 3,488,661.79
  5. Step 5: Solve for x
    x = 3,488,661.79/2,011.34
  6. Step 6: Final answer
    x = 1,734.50

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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.