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Finding the Fourth Proportional to 2,654.56, 3,981.84 and 1,356.94

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Solution

The fourth proportional to 2,654.56, 3,981.84 and 1,356.94 is: 2,035.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.56 : 3,981.84 = 1,356.94 : x
  2. Step 2: Convert to fraction form
    2,654.56/3,981.84 = 1,356.94/x
  3. Step 3: Cross multiply
    2,654.56x = 3,981.84 × 1,356.94
  4. Step 4: Simplify right side
    2,654.56x = 5,403,117.97
  5. Step 5: Solve for x
    x = 5,403,117.97/2,654.56
  6. Step 6: Final answer
    x = 2,035.41

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Why These Related Problems?

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