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Finding the Fourth Proportional to 2,705.68, 4,057.20 and 1,388.08

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Solution

The fourth proportional to 2,705.68, 4,057.20 and 1,388.08 is: 2,081.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.68 : 4,057.20 = 1,388.08 : x
  2. Step 2: Convert to fraction form
    2,705.68/4,057.20 = 1,388.08/x
  3. Step 3: Cross multiply
    2,705.68x = 4,057.20 × 1,388.08
  4. Step 4: Simplify right side
    2,705.68x = 5,631,718.18
  5. Step 5: Solve for x
    x = 5,631,718.18/2,705.68
  6. Step 6: Final answer
    x = 2,081.44

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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.