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Finding the Fourth Proportional to 1,367.75, 1,886.92 and 895.76

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Solution

The fourth proportional to 1,367.75, 1,886.92 and 895.76 is: 1,235.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.75 : 1,886.92 = 895.76 : x
  2. Step 2: Convert to fraction form
    1,367.75/1,886.92 = 895.76/x
  3. Step 3: Cross multiply
    1,367.75x = 1,886.92 × 895.76
  4. Step 4: Simplify right side
    1,367.75x = 1,690,215.79
  5. Step 5: Solve for x
    x = 1,690,215.79/1,367.75
  6. Step 6: Final answer
    x = 1,235.77

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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.