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Finding the Fourth Proportional to 2,699.48, 4,049.19 and 1,057.17

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Solution

The fourth proportional to 2,699.48, 4,049.19 and 1,057.17 is: 1,585.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.48 : 4,049.19 = 1,057.17 : x
  2. Step 2: Convert to fraction form
    2,699.48/4,049.19 = 1,057.17/x
  3. Step 3: Cross multiply
    2,699.48x = 4,049.19 × 1,057.17
  4. Step 4: Simplify right side
    2,699.48x = 4,280,682.19
  5. Step 5: Solve for x
    x = 4,280,682.19/2,699.48
  6. Step 6: Final answer
    x = 1,585.75

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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.