Home / 1,678.24-2,314.83-1,013.94

Finding the Fourth Proportional to 1,678.24, 2,314.83 and 1,013.94

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Solution

The fourth proportional to 1,678.24, 2,314.83 and 1,013.94 is: 1,398.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.24 : 2,314.83 = 1,013.94 : x
  2. Step 2: Convert to fraction form
    1,678.24/2,314.83 = 1,013.94/x
  3. Step 3: Cross multiply
    1,678.24x = 2,314.83 × 1,013.94
  4. Step 4: Simplify right side
    1,678.24x = 2,347,098.73
  5. Step 5: Solve for x
    x = 2,347,098.73/1,678.24
  6. Step 6: Final answer
    x = 1,398.55

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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.