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Finding the Fourth Proportional to 2,056.86, 3,085.16 and 961.47

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Solution

The fourth proportional to 2,056.86, 3,085.16 and 961.47 is: 1,442.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.86 : 3,085.16 = 961.47 : x
  2. Step 2: Convert to fraction form
    2,056.86/3,085.16 = 961.47/x
  3. Step 3: Cross multiply
    2,056.86x = 3,085.16 × 961.47
  4. Step 4: Simplify right side
    2,056.86x = 2,966,283.98
  5. Step 5: Solve for x
    x = 2,966,283.98/2,056.86
  6. Step 6: Final answer
    x = 1,442.14

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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.