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Finding the Fourth Proportional to 2,693.66, 4,040.55 and 719.42

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Solution

The fourth proportional to 2,693.66, 4,040.55 and 719.42 is: 1,079.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693.66 : 4,040.55 = 719.42 : x
  2. Step 2: Convert to fraction form
    2,693.66/4,040.55 = 719.42/x
  3. Step 3: Cross multiply
    2,693.66x = 4,040.55 × 719.42
  4. Step 4: Simplify right side
    2,693.66x = 2,906,832.28
  5. Step 5: Solve for x
    x = 2,906,832.28/2,693.66
  6. Step 6: Final answer
    x = 1,079.14

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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.