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Finding the Fourth Proportional to 2,057.64, 2,839.88 and 1,218.56

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Solution

The fourth proportional to 2,057.64, 2,839.88 and 1,218.56 is: 1,681.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.64 : 2,839.88 = 1,218.56 : x
  2. Step 2: Convert to fraction form
    2,057.64/2,839.88 = 1,218.56/x
  3. Step 3: Cross multiply
    2,057.64x = 2,839.88 × 1,218.56
  4. Step 4: Simplify right side
    2,057.64x = 3,460,564.17
  5. Step 5: Solve for x
    x = 3,460,564.17/2,057.64
  6. Step 6: Final answer
    x = 1,681.81

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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.