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Finding the Fourth Proportional to 2,056.12, 3,081.08 and 959.20

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Solution

The fourth proportional to 2,056.12, 3,081.08 and 959.20 is: 1,437.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.12 : 3,081.08 = 959.20 : x
  2. Step 2: Convert to fraction form
    2,056.12/3,081.08 = 959.20/x
  3. Step 3: Cross multiply
    2,056.12x = 3,081.08 × 959.20
  4. Step 4: Simplify right side
    2,056.12x = 2,955,371.94
  5. Step 5: Solve for x
    x = 2,955,371.94/2,056.12
  6. Step 6: Final answer
    x = 1,437.35

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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.