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Finding the Fourth Proportional to 3,084.55, 4,627.33 and 976.32

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Solution

The fourth proportional to 3,084.55, 4,627.33 and 976.32 is: 1,464.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084.55 : 4,627.33 = 976.32 : x
  2. Step 2: Convert to fraction form
    3,084.55/4,627.33 = 976.32/x
  3. Step 3: Cross multiply
    3,084.55x = 4,627.33 × 976.32
  4. Step 4: Simplify right side
    3,084.55x = 4,517,752.38
  5. Step 5: Solve for x
    x = 4,517,752.38/3,084.55
  6. Step 6: Final answer
    x = 1,464.64

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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.