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Finding the Fourth Proportional to 2,701.56, 4,052.72 and 946.31

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Solution

The fourth proportional to 2,701.56, 4,052.72 and 946.31 is: 1,419.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.56 : 4,052.72 = 946.31 : x
  2. Step 2: Convert to fraction form
    2,701.56/4,052.72 = 946.31/x
  3. Step 3: Cross multiply
    2,701.56x = 4,052.72 × 946.31
  4. Step 4: Simplify right side
    2,701.56x = 3,835,129.46
  5. Step 5: Solve for x
    x = 3,835,129.46/2,701.56
  6. Step 6: Final answer
    x = 1,419.60

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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.