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Finding the Fourth Proportional to 2,654.19, 3,981.27 and 922.81

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Solution

The fourth proportional to 2,654.19, 3,981.27 and 922.81 is: 1,384.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.19 : 3,981.27 = 922.81 : x
  2. Step 2: Convert to fraction form
    2,654.19/3,981.27 = 922.81/x
  3. Step 3: Cross multiply
    2,654.19x = 3,981.27 × 922.81
  4. Step 4: Simplify right side
    2,654.19x = 3,673,955.77
  5. Step 5: Solve for x
    x = 3,673,955.77/2,654.19
  6. Step 6: Final answer
    x = 1,384.21

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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.