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Finding the Fourth Proportional to 2,956.44, 4,436.19 and 1,314.12

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Solution

The fourth proportional to 2,956.44, 4,436.19 and 1,314.12 is: 1,971.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,956.44 : 4,436.19 = 1,314.12 : x
  2. Step 2: Convert to fraction form
    2,956.44/4,436.19 = 1,314.12/x
  3. Step 3: Cross multiply
    2,956.44x = 4,436.19 × 1,314.12
  4. Step 4: Simplify right side
    2,956.44x = 5,829,686.00
  5. Step 5: Solve for x
    x = 5,829,686.00/2,956.44
  6. Step 6: Final answer
    x = 1,971.86

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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.