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Finding the Fourth Proportional to 2,654.44, 3,981.30 and 922.84

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Solution

The fourth proportional to 2,654.44, 3,981.30 and 922.84 is: 1,384.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.44 : 3,981.30 = 922.84 : x
  2. Step 2: Convert to fraction form
    2,654.44/3,981.30 = 922.84/x
  3. Step 3: Cross multiply
    2,654.44x = 3,981.30 × 922.84
  4. Step 4: Simplify right side
    2,654.44x = 3,674,102.89
  5. Step 5: Solve for x
    x = 3,674,102.89/2,654.44
  6. Step 6: Final answer
    x = 1,384.13

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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.