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Finding the Fourth Proportional to 1,682.93, 2,321.91 and 1,123.52

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Solution

The fourth proportional to 1,682.93, 2,321.91 and 1,123.52 is: 1,550.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.93 : 2,321.91 = 1,123.52 : x
  2. Step 2: Convert to fraction form
    1,682.93/2,321.91 = 1,123.52/x
  3. Step 3: Cross multiply
    1,682.93x = 2,321.91 × 1,123.52
  4. Step 4: Simplify right side
    1,682.93x = 2,608,700.71
  5. Step 5: Solve for x
    x = 2,608,700.71/1,682.93
  6. Step 6: Final answer
    x = 1,550.09

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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.