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Finding the Fourth Proportional to 2,057.97, 2,838.83 and 1,261.67

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Solution

The fourth proportional to 2,057.97, 2,838.83 and 1,261.67 is: 1,740.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.97 : 2,838.83 = 1,261.67 : x
  2. Step 2: Convert to fraction form
    2,057.97/2,838.83 = 1,261.67/x
  3. Step 3: Cross multiply
    2,057.97x = 2,838.83 × 1,261.67
  4. Step 4: Simplify right side
    2,057.97x = 3,581,680.74
  5. Step 5: Solve for x
    x = 3,581,680.74/2,057.97
  6. Step 6: Final answer
    x = 1,740.40

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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.