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Finding the Fourth Proportional to 1,956.64, 2,934.80 and 657.94

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Solution

The fourth proportional to 1,956.64, 2,934.80 and 657.94 is: 986.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,956.64 : 2,934.80 = 657.94 : x
  2. Step 2: Convert to fraction form
    1,956.64/2,934.80 = 657.94/x
  3. Step 3: Cross multiply
    1,956.64x = 2,934.80 × 657.94
  4. Step 4: Simplify right side
    1,956.64x = 1,930,922.31
  5. Step 5: Solve for x
    x = 1,930,922.31/1,956.64
  6. Step 6: Final answer
    x = 986.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.