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Finding the Fourth Proportional to 2,056.72, 3,085.70 and 961.72

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Solution

The fourth proportional to 2,056.72, 3,085.70 and 961.72 is: 1,442.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.72 : 3,085.70 = 961.72 : x
  2. Step 2: Convert to fraction form
    2,056.72/3,085.70 = 961.72/x
  3. Step 3: Cross multiply
    2,056.72x = 3,085.70 × 961.72
  4. Step 4: Simplify right side
    2,056.72x = 2,967,579.40
  5. Step 5: Solve for x
    x = 2,967,579.40/2,056.72
  6. Step 6: Final answer
    x = 1,442.87

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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.