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Finding the Fourth Proportional to 2,703.92, 4,055.85 and 1,827.90

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Solution

The fourth proportional to 2,703.92, 4,055.85 and 1,827.90 is: 2,741.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.92 : 4,055.85 = 1,827.90 : x
  2. Step 2: Convert to fraction form
    2,703.92/4,055.85 = 1,827.90/x
  3. Step 3: Cross multiply
    2,703.92x = 4,055.85 × 1,827.90
  4. Step 4: Simplify right side
    2,703.92x = 7,413,688.22
  5. Step 5: Solve for x
    x = 7,413,688.22/2,703.92
  6. Step 6: Final answer
    x = 2,741.83

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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.