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Finding the Fourth Proportional to 2,346.24, 3,520.72 and 885.12

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Solution

The fourth proportional to 2,346.24, 3,520.72 and 885.12 is: 1,328.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.24 : 3,520.72 = 885.12 : x
  2. Step 2: Convert to fraction form
    2,346.24/3,520.72 = 885.12/x
  3. Step 3: Cross multiply
    2,346.24x = 3,520.72 × 885.12
  4. Step 4: Simplify right side
    2,346.24x = 3,116,259.69
  5. Step 5: Solve for x
    x = 3,116,259.69/2,346.24
  6. Step 6: Final answer
    x = 1,328.19

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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.