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Finding the Fourth Proportional to 2,706.92, 4,057.50 and 1,935.08

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Solution

The fourth proportional to 2,706.92, 4,057.50 and 1,935.08 is: 2,900.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.92 : 4,057.50 = 1,935.08 : x
  2. Step 2: Convert to fraction form
    2,706.92/4,057.50 = 1,935.08/x
  3. Step 3: Cross multiply
    2,706.92x = 4,057.50 × 1,935.08
  4. Step 4: Simplify right side
    2,706.92x = 7,851,587.10
  5. Step 5: Solve for x
    x = 7,851,587.10/2,706.92
  6. Step 6: Final answer
    x = 2,900.56

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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.