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Finding the Fourth Proportional to 2,254.78, 3,381.76 and 1,021.91

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Solution

The fourth proportional to 2,254.78, 3,381.76 and 1,021.91 is: 1,532.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.78 : 3,381.76 = 1,021.91 : x
  2. Step 2: Convert to fraction form
    2,254.78/3,381.76 = 1,021.91/x
  3. Step 3: Cross multiply
    2,254.78x = 3,381.76 × 1,021.91
  4. Step 4: Simplify right side
    2,254.78x = 3,455,838.73
  5. Step 5: Solve for x
    x = 3,455,838.73/2,254.78
  6. Step 6: Final answer
    x = 1,532.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.