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Finding the Fourth Proportional to 2,701.66, 4,052.06 and 1,057.64

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Solution

The fourth proportional to 2,701.66, 4,052.06 and 1,057.64 is: 1,586.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.66 : 4,052.06 = 1,057.64 : x
  2. Step 2: Convert to fraction form
    2,701.66/4,052.06 = 1,057.64/x
  3. Step 3: Cross multiply
    2,701.66x = 4,052.06 × 1,057.64
  4. Step 4: Simplify right side
    2,701.66x = 4,285,620.74
  5. Step 5: Solve for x
    x = 4,285,620.74/2,701.66
  6. Step 6: Final answer
    x = 1,586.29

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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.