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Finding the Fourth Proportional to 2,156.70, 3,235.56 and 695.87

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Solution

The fourth proportional to 2,156.70, 3,235.56 and 695.87 is: 1,043.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.70 : 3,235.56 = 695.87 : x
  2. Step 2: Convert to fraction form
    2,156.70/3,235.56 = 695.87/x
  3. Step 3: Cross multiply
    2,156.70x = 3,235.56 × 695.87
  4. Step 4: Simplify right side
    2,156.70x = 2,251,512.96
  5. Step 5: Solve for x
    x = 2,251,512.96/2,156.70
  6. Step 6: Final answer
    x = 1,043.96

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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.