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Finding the Fourth Proportional to 3,091.34, 4,266.22 and 1,765.47

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Solution

The fourth proportional to 3,091.34, 4,266.22 and 1,765.47 is: 2,436.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.34 : 4,266.22 = 1,765.47 : x
  2. Step 2: Convert to fraction form
    3,091.34/4,266.22 = 1,765.47/x
  3. Step 3: Cross multiply
    3,091.34x = 4,266.22 × 1,765.47
  4. Step 4: Simplify right side
    3,091.34x = 7,531,883.42
  5. Step 5: Solve for x
    x = 7,531,883.42/3,091.34
  6. Step 6: Final answer
    x = 2,436.45

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1.5x scale

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.