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Finding the Fourth Proportional to 2,857.19, 4,285.01 and 983.05

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Solution

The fourth proportional to 2,857.19, 4,285.01 and 983.05 is: 1,474.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.19 : 4,285.01 = 983.05 : x
  2. Step 2: Convert to fraction form
    2,857.19/4,285.01 = 983.05/x
  3. Step 3: Cross multiply
    2,857.19x = 4,285.01 × 983.05
  4. Step 4: Simplify right side
    2,857.19x = 4,212,370.83
  5. Step 5: Solve for x
    x = 4,212,370.83/2,857.19
  6. Step 6: Final answer
    x = 1,474.31

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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.