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Finding the Fourth Proportional to 2,741.13, 4,111.23 and 985.77

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Solution

The fourth proportional to 2,741.13, 4,111.23 and 985.77 is: 1,478.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.13 : 4,111.23 = 985.77 : x
  2. Step 2: Convert to fraction form
    2,741.13/4,111.23 = 985.77/x
  3. Step 3: Cross multiply
    2,741.13x = 4,111.23 × 985.77
  4. Step 4: Simplify right side
    2,741.13x = 4,052,739.94
  5. Step 5: Solve for x
    x = 4,052,739.94/2,741.13
  6. Step 6: Final answer
    x = 1,478.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.