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Finding the Fourth Proportional to 2,327.94, 3,488.73 and 865.68

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Solution

The fourth proportional to 2,327.94, 3,488.73 and 865.68 is: 1,297.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.94 : 3,488.73 = 865.68 : x
  2. Step 2: Convert to fraction form
    2,327.94/3,488.73 = 865.68/x
  3. Step 3: Cross multiply
    2,327.94x = 3,488.73 × 865.68
  4. Step 4: Simplify right side
    2,327.94x = 3,020,123.79
  5. Step 5: Solve for x
    x = 3,020,123.79/2,327.94
  6. Step 6: Final answer
    x = 1,297.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.