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Finding the Fourth Proportional to 2,346.20, 3,520.76 and 885.16

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Solution

The fourth proportional to 2,346.20, 3,520.76 and 885.16 is: 1,328.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.20 : 3,520.76 = 885.16 : x
  2. Step 2: Convert to fraction form
    2,346.20/3,520.76 = 885.16/x
  3. Step 3: Cross multiply
    2,346.20x = 3,520.76 × 885.16
  4. Step 4: Simplify right side
    2,346.20x = 3,116,435.92
  5. Step 5: Solve for x
    x = 3,116,435.92/2,346.20
  6. Step 6: Final answer
    x = 1,328.29

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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.