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Finding the Fourth Proportional to 1,848.30, 2,772.83 and 615.80

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Solution

The fourth proportional to 1,848.30, 2,772.83 and 615.80 is: 923.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,848.30 : 2,772.83 = 615.80 : x
  2. Step 2: Convert to fraction form
    1,848.30/2,772.83 = 615.80/x
  3. Step 3: Cross multiply
    1,848.30x = 2,772.83 × 615.80
  4. Step 4: Simplify right side
    1,848.30x = 1,707,517.19
  5. Step 5: Solve for x
    x = 1,707,517.19/1,848.30
  6. Step 6: Final answer
    x = 923.83

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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.