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Finding the Fourth Proportional to 2,830.66, 4,216.80 and 2,744.68

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Solution

The fourth proportional to 2,830.66, 4,216.80 and 2,744.68 is: 4,088.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.66 : 4,216.80 = 2,744.68 : x
  2. Step 2: Convert to fraction form
    2,830.66/4,216.80 = 2,744.68/x
  3. Step 3: Cross multiply
    2,830.66x = 4,216.80 × 2,744.68
  4. Step 4: Simplify right side
    2,830.66x = 11,573,766.62
  5. Step 5: Solve for x
    x = 11,573,766.62/2,830.66
  6. Step 6: Final answer
    x = 4,088.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.