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Finding the Fourth Proportional to 2,582.19, 3,875.34 and 939.21

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Solution

The fourth proportional to 2,582.19, 3,875.34 and 939.21 is: 1,409.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.19 : 3,875.34 = 939.21 : x
  2. Step 2: Convert to fraction form
    2,582.19/3,875.34 = 939.21/x
  3. Step 3: Cross multiply
    2,582.19x = 3,875.34 × 939.21
  4. Step 4: Simplify right side
    2,582.19x = 3,639,758.08
  5. Step 5: Solve for x
    x = 3,639,758.08/2,582.19
  6. Step 6: Final answer
    x = 1,409.56

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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.