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Finding the Fourth Proportional to 3,084.72, 4,627.30 and 976.83

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Solution

The fourth proportional to 3,084.72, 4,627.30 and 976.83 is: 1,465.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084.72 : 4,627.30 = 976.83 : x
  2. Step 2: Convert to fraction form
    3,084.72/4,627.30 = 976.83/x
  3. Step 3: Cross multiply
    3,084.72x = 4,627.30 × 976.83
  4. Step 4: Simplify right side
    3,084.72x = 4,520,062.32
  5. Step 5: Solve for x
    x = 4,520,062.32/3,084.72
  6. Step 6: Final answer
    x = 1,465.31

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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.