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Finding the Fourth Proportional to 3,091.55, 4,639.21 and 1,776.95

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Solution

The fourth proportional to 3,091.55, 4,639.21 and 1,776.95 is: 2,666.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.55 : 4,639.21 = 1,776.95 : x
  2. Step 2: Convert to fraction form
    3,091.55/4,639.21 = 1,776.95/x
  3. Step 3: Cross multiply
    3,091.55x = 4,639.21 × 1,776.95
  4. Step 4: Simplify right side
    3,091.55x = 8,243,660.06
  5. Step 5: Solve for x
    x = 8,243,660.06/3,091.55
  6. Step 6: Final answer
    x = 2,666.51

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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.