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Finding the Fourth Proportional to 2,056.52, 3,085.79 and 960.72

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Solution

The fourth proportional to 2,056.52, 3,085.79 and 960.72 is: 1,441.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.52 : 3,085.79 = 960.72 : x
  2. Step 2: Convert to fraction form
    2,056.52/3,085.79 = 960.72/x
  3. Step 3: Cross multiply
    2,056.52x = 3,085.79 × 960.72
  4. Step 4: Simplify right side
    2,056.52x = 2,964,575.37
  5. Step 5: Solve for x
    x = 2,964,575.37/2,056.52
  6. Step 6: Final answer
    x = 1,441.55

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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.