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Finding the Fourth Proportional to 4,654.86, 6,981.66 and 1,883.04

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Solution

The fourth proportional to 4,654.86, 6,981.66 and 1,883.04 is: 2,824.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.86 : 6,981.66 = 1,883.04 : x
  2. Step 2: Convert to fraction form
    4,654.86/6,981.66 = 1,883.04/x
  3. Step 3: Cross multiply
    4,654.86x = 6,981.66 × 1,883.04
  4. Step 4: Simplify right side
    4,654.86x = 13,146,745.05
  5. Step 5: Solve for x
    x = 13,146,745.05/4,654.86
  6. Step 6: Final answer
    x = 2,824.31

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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.