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Finding the Fourth Proportional to 2,056.48, 3,085.20 and 961.60

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Solution

The fourth proportional to 2,056.48, 3,085.20 and 961.60 is: 1,442.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.48 : 3,085.20 = 961.60 : x
  2. Step 2: Convert to fraction form
    2,056.48/3,085.20 = 961.60/x
  3. Step 3: Cross multiply
    2,056.48x = 3,085.20 × 961.60
  4. Step 4: Simplify right side
    2,056.48x = 2,966,728.32
  5. Step 5: Solve for x
    x = 2,966,728.32/2,056.48
  6. Step 6: Final answer
    x = 1,442.62

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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.