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Finding the Fourth Proportional to 1,873.72, 2,811.06 and 719.56

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Solution

The fourth proportional to 1,873.72, 2,811.06 and 719.56 is: 1,079.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873.72 : 2,811.06 = 719.56 : x
  2. Step 2: Convert to fraction form
    1,873.72/2,811.06 = 719.56/x
  3. Step 3: Cross multiply
    1,873.72x = 2,811.06 × 719.56
  4. Step 4: Simplify right side
    1,873.72x = 2,022,726.33
  5. Step 5: Solve for x
    x = 2,022,726.33/1,873.72
  6. Step 6: Final answer
    x = 1,079.52

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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.