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Finding the Fourth Proportional to 2,057.64, 2,839.83 and 1,218.72

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Solution

The fourth proportional to 2,057.64, 2,839.83 and 1,218.72 is: 1,682.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.64 : 2,839.83 = 1,218.72 : x
  2. Step 2: Convert to fraction form
    2,057.64/2,839.83 = 1,218.72/x
  3. Step 3: Cross multiply
    2,057.64x = 2,839.83 × 1,218.72
  4. Step 4: Simplify right side
    2,057.64x = 3,460,957.62
  5. Step 5: Solve for x
    x = 3,460,957.62/2,057.64
  6. Step 6: Final answer
    x = 1,682.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.