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Finding the Fourth Proportional to 2,960.86, 4,085.96 and 1,782

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Solution

The fourth proportional to 2,960.86, 4,085.96 and 1,782 is: 2,459.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960.86 : 4,085.96 = 1,782 : x
  2. Step 2: Convert to fraction form
    2,960.86/4,085.96 = 1,782/x
  3. Step 3: Cross multiply
    2,960.86x = 4,085.96 × 1,782
  4. Step 4: Simplify right side
    2,960.86x = 7,281,180.72
  5. Step 5: Solve for x
    x = 7,281,180.72/2,960.86
  6. Step 6: Final answer
    x = 2,459.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.