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Finding the Fourth Proportional to 2,346.62, 3,520.32 and 885.88

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Solution

The fourth proportional to 2,346.62, 3,520.32 and 885.88 is: 1,328.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.62 : 3,520.32 = 885.88 : x
  2. Step 2: Convert to fraction form
    2,346.62/3,520.32 = 885.88/x
  3. Step 3: Cross multiply
    2,346.62x = 3,520.32 × 885.88
  4. Step 4: Simplify right side
    2,346.62x = 3,118,581.08
  5. Step 5: Solve for x
    x = 3,118,581.08/2,346.62
  6. Step 6: Final answer
    x = 1,328.97

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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.