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Finding the Fourth Proportional to 3,155.60, 4,727.49 and 2,830.66

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Solution

The fourth proportional to 3,155.60, 4,727.49 and 2,830.66 is: 4,240.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155.60 : 4,727.49 = 2,830.66 : x
  2. Step 2: Convert to fraction form
    3,155.60/4,727.49 = 2,830.66/x
  3. Step 3: Cross multiply
    3,155.60x = 4,727.49 × 2,830.66
  4. Step 4: Simplify right side
    3,155.60x = 13,381,919.29
  5. Step 5: Solve for x
    x = 13,381,919.29/3,155.60
  6. Step 6: Final answer
    x = 4,240.69

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