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Finding the Fourth Proportional to 2,084.60, 3,127.36 and 623.88

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Solution

The fourth proportional to 2,084.60, 3,127.36 and 623.88 is: 935.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.60 : 3,127.36 = 623.88 : x
  2. Step 2: Convert to fraction form
    2,084.60/3,127.36 = 623.88/x
  3. Step 3: Cross multiply
    2,084.60x = 3,127.36 × 623.88
  4. Step 4: Simplify right side
    2,084.60x = 1,951,097.36
  5. Step 5: Solve for x
    x = 1,951,097.36/2,084.60
  6. Step 6: Final answer
    x = 935.96

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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.