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Finding the Fourth Proportional to 3,059.80, 4,587.86 and 1,827.92

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Solution

The fourth proportional to 3,059.80, 4,587.86 and 1,827.92 is: 2,740.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,059.80 : 4,587.86 = 1,827.92 : x
  2. Step 2: Convert to fraction form
    3,059.80/4,587.86 = 1,827.92/x
  3. Step 3: Cross multiply
    3,059.80x = 4,587.86 × 1,827.92
  4. Step 4: Simplify right side
    3,059.80x = 8,386,241.05
  5. Step 5: Solve for x
    x = 8,386,241.05/3,059.80
  6. Step 6: Final answer
    x = 2,740.78

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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.