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Finding the Fourth Proportional to 1,516.31, 2,093.05 and 895.31

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Solution

The fourth proportional to 1,516.31, 2,093.05 and 895.31 is: 1,235.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.31 : 2,093.05 = 895.31 : x
  2. Step 2: Convert to fraction form
    1,516.31/2,093.05 = 895.31/x
  3. Step 3: Cross multiply
    1,516.31x = 2,093.05 × 895.31
  4. Step 4: Simplify right side
    1,516.31x = 1,873,934.95
  5. Step 5: Solve for x
    x = 1,873,934.95/1,516.31
  6. Step 6: Final answer
    x = 1,235.85

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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.