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Finding the Fourth Proportional to 2,775.42, 4,161.53 and 926.09

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Solution

The fourth proportional to 2,775.42, 4,161.53 and 926.09 is: 1,388.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.42 : 4,161.53 = 926.09 : x
  2. Step 2: Convert to fraction form
    2,775.42/4,161.53 = 926.09/x
  3. Step 3: Cross multiply
    2,775.42x = 4,161.53 × 926.09
  4. Step 4: Simplify right side
    2,775.42x = 3,853,925.88
  5. Step 5: Solve for x
    x = 3,853,925.88/2,775.42
  6. Step 6: Final answer
    x = 1,388.59

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1.5x scale

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.