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Finding the Fourth Proportional to 1,293.14, 1,924.16 and 1,288.82

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Solution

The fourth proportional to 1,293.14, 1,924.16 and 1,288.82 is: 1,917.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.14 : 1,924.16 = 1,288.82 : x
  2. Step 2: Convert to fraction form
    1,293.14/1,924.16 = 1,288.82/x
  3. Step 3: Cross multiply
    1,293.14x = 1,924.16 × 1,288.82
  4. Step 4: Simplify right side
    1,293.14x = 2,479,895.89
  5. Step 5: Solve for x
    x = 2,479,895.89/1,293.14
  6. Step 6: Final answer
    x = 1,917.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.