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Finding the Fourth Proportional to 1,956.96, 2,932.74 and 1,406.70

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Solution

The fourth proportional to 1,956.96, 2,932.74 and 1,406.70 is: 2,108.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,956.96 : 2,932.74 = 1,406.70 : x
  2. Step 2: Convert to fraction form
    1,956.96/2,932.74 = 1,406.70/x
  3. Step 3: Cross multiply
    1,956.96x = 2,932.74 × 1,406.70
  4. Step 4: Simplify right side
    1,956.96x = 4,125,485.36
  5. Step 5: Solve for x
    x = 4,125,485.36/1,956.96
  6. Step 6: Final answer
    x = 2,108.11

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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.