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Finding the Fourth Proportional to 2,830.90, 4,244.13 and 1,369.66

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Solution

The fourth proportional to 2,830.90, 4,244.13 and 1,369.66 is: 2,053.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.90 : 4,244.13 = 1,369.66 : x
  2. Step 2: Convert to fraction form
    2,830.90/4,244.13 = 1,369.66/x
  3. Step 3: Cross multiply
    2,830.90x = 4,244.13 × 1,369.66
  4. Step 4: Simplify right side
    2,830.90x = 5,813,015.10
  5. Step 5: Solve for x
    x = 5,813,015.10/2,830.90
  6. Step 6: Final answer
    x = 2,053.42

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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.