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Finding the Fourth Proportional to 3,381.98, 4,668.56 and 2,056.10

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Solution

The fourth proportional to 3,381.98, 4,668.56 and 2,056.10 is: 2,838.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,381.98 : 4,668.56 = 2,056.10 : x
  2. Step 2: Convert to fraction form
    3,381.98/4,668.56 = 2,056.10/x
  3. Step 3: Cross multiply
    3,381.98x = 4,668.56 × 2,056.10
  4. Step 4: Simplify right side
    3,381.98x = 9,599,043.03
  5. Step 5: Solve for x
    x = 9,599,043.03/3,381.98
  6. Step 6: Final answer
    x = 2,838.30

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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.