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Finding the Fourth Proportional to 2,346.54, 3,517.38 and 885.06

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Solution

The fourth proportional to 2,346.54, 3,517.38 and 885.06 is: 1,326.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.54 : 3,517.38 = 885.06 : x
  2. Step 2: Convert to fraction form
    2,346.54/3,517.38 = 885.06/x
  3. Step 3: Cross multiply
    2,346.54x = 3,517.38 × 885.06
  4. Step 4: Simplify right side
    2,346.54x = 3,113,092.34
  5. Step 5: Solve for x
    x = 3,113,092.34/2,346.54
  6. Step 6: Final answer
    x = 1,326.67

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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.