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Finding the Fourth Proportional to 1,516.87, 2,093.07 and 887.23

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Solution

The fourth proportional to 1,516.87, 2,093.07 and 887.23 is: 1,224.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.87 : 2,093.07 = 887.23 : x
  2. Step 2: Convert to fraction form
    1,516.87/2,093.07 = 887.23/x
  3. Step 3: Cross multiply
    1,516.87x = 2,093.07 × 887.23
  4. Step 4: Simplify right side
    1,516.87x = 1,857,034.50
  5. Step 5: Solve for x
    x = 1,857,034.50/1,516.87
  6. Step 6: Final answer
    x = 1,224.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.