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Finding the Fourth Proportional to 1,771.56, 2,445.12 and 1,063.44

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Solution

The fourth proportional to 1,771.56, 2,445.12 and 1,063.44 is: 1,467.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.56 : 2,445.12 = 1,063.44 : x
  2. Step 2: Convert to fraction form
    1,771.56/2,445.12 = 1,063.44/x
  3. Step 3: Cross multiply
    1,771.56x = 2,445.12 × 1,063.44
  4. Step 4: Simplify right side
    1,771.56x = 2,600,238.41
  5. Step 5: Solve for x
    x = 2,600,238.41/1,771.56
  6. Step 6: Final answer
    x = 1,467.77

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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.