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Finding the Fourth Proportional to 2,346.75, 3,516.47 and 885.11

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Solution

The fourth proportional to 2,346.75, 3,516.47 and 885.11 is: 1,326.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.75 : 3,516.47 = 885.11 : x
  2. Step 2: Convert to fraction form
    2,346.75/3,516.47 = 885.11/x
  3. Step 3: Cross multiply
    2,346.75x = 3,516.47 × 885.11
  4. Step 4: Simplify right side
    2,346.75x = 3,112,440.75
  5. Step 5: Solve for x
    x = 3,112,440.75/2,346.75
  6. Step 6: Final answer
    x = 1,326.28

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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.