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Finding the Fourth Proportional to 2,266.32, 3,383.97 and 2,030.54

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Solution

The fourth proportional to 2,266.32, 3,383.97 and 2,030.54 is: 3,031.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.32 : 3,383.97 = 2,030.54 : x
  2. Step 2: Convert to fraction form
    2,266.32/3,383.97 = 2,030.54/x
  3. Step 3: Cross multiply
    2,266.32x = 3,383.97 × 2,030.54
  4. Step 4: Simplify right side
    2,266.32x = 6,871,261.91
  5. Step 5: Solve for x
    x = 6,871,261.91/2,266.32
  6. Step 6: Final answer
    x = 3,031.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.