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Finding the Fourth Proportional to 2,383.83, 3,289.79 and 1,488.09

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Solution

The fourth proportional to 2,383.83, 3,289.79 and 1,488.09 is: 2,053.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.83 : 3,289.79 = 1,488.09 : x
  2. Step 2: Convert to fraction form
    2,383.83/3,289.79 = 1,488.09/x
  3. Step 3: Cross multiply
    2,383.83x = 3,289.79 × 1,488.09
  4. Step 4: Simplify right side
    2,383.83x = 4,895,521.87
  5. Step 5: Solve for x
    x = 4,895,521.87/2,383.83
  6. Step 6: Final answer
    x = 2,053.64

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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.