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Finding the Fourth Proportional to 2,056.84, 2,839.26 and 1,359.88

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Solution

The fourth proportional to 2,056.84, 2,839.26 and 1,359.88 is: 1,877.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.84 : 2,839.26 = 1,359.88 : x
  2. Step 2: Convert to fraction form
    2,056.84/2,839.26 = 1,359.88/x
  3. Step 3: Cross multiply
    2,056.84x = 2,839.26 × 1,359.88
  4. Step 4: Simplify right side
    2,056.84x = 3,861,052.89
  5. Step 5: Solve for x
    x = 3,861,052.89/2,056.84
  6. Step 6: Final answer
    x = 1,877.18

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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.