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Finding the Fourth Proportional to 2,654.80, 3,981.12 and 923.02

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Solution

The fourth proportional to 2,654.80, 3,981.12 and 923.02 is: 1,384.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.80 : 3,981.12 = 923.02 : x
  2. Step 2: Convert to fraction form
    2,654.80/3,981.12 = 923.02/x
  3. Step 3: Cross multiply
    2,654.80x = 3,981.12 × 923.02
  4. Step 4: Simplify right side
    2,654.80x = 3,674,653.38
  5. Step 5: Solve for x
    x = 3,674,653.38/2,654.80
  6. Step 6: Final answer
    x = 1,384.15

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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.