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Finding the Fourth Proportional to 2,966.35, 4,448.15 and 885.81

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Solution

The fourth proportional to 2,966.35, 4,448.15 and 885.81 is: 1,328.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.35 : 4,448.15 = 885.81 : x
  2. Step 2: Convert to fraction form
    2,966.35/4,448.15 = 885.81/x
  3. Step 3: Cross multiply
    2,966.35x = 4,448.15 × 885.81
  4. Step 4: Simplify right side
    2,966.35x = 3,940,215.75
  5. Step 5: Solve for x
    x = 3,940,215.75/2,966.35
  6. Step 6: Final answer
    x = 1,328.30

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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.