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Finding the Fourth Proportional to 1,462.78, 2,019.27 and 873.82

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Solution

The fourth proportional to 1,462.78, 2,019.27 and 873.82 is: 1,206.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.78 : 2,019.27 = 873.82 : x
  2. Step 2: Convert to fraction form
    1,462.78/2,019.27 = 873.82/x
  3. Step 3: Cross multiply
    1,462.78x = 2,019.27 × 873.82
  4. Step 4: Simplify right side
    1,462.78x = 1,764,478.51
  5. Step 5: Solve for x
    x = 1,764,478.51/1,462.78
  6. Step 6: Final answer
    x = 1,206.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.