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Finding the Fourth Proportional to 2,956.72, 4,434 and 1,311.64

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Solution

The fourth proportional to 2,956.72, 4,434 and 1,311.64 is: 1,966.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,956.72 : 4,434 = 1,311.64 : x
  2. Step 2: Convert to fraction form
    2,956.72/4,434 = 1,311.64/x
  3. Step 3: Cross multiply
    2,956.72x = 4,434 × 1,311.64
  4. Step 4: Simplify right side
    2,956.72x = 5,815,811.76
  5. Step 5: Solve for x
    x = 5,815,811.76/2,956.72
  6. Step 6: Final answer
    x = 1,966.98

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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.