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Finding the Fourth Proportional to 2,346.15, 3,516.95 and 884.96

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Solution

The fourth proportional to 2,346.15, 3,516.95 and 884.96 is: 1,326.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.15 : 3,516.95 = 884.96 : x
  2. Step 2: Convert to fraction form
    2,346.15/3,516.95 = 884.96/x
  3. Step 3: Cross multiply
    2,346.15x = 3,516.95 × 884.96
  4. Step 4: Simplify right side
    2,346.15x = 3,112,338.06
  5. Step 5: Solve for x
    x = 3,112,338.06/2,346.15
  6. Step 6: Final answer
    x = 1,326.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.