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Finding the Fourth Proportional to 2,815, 4,223.58 and 1,428.28

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Solution

The fourth proportional to 2,815, 4,223.58 and 1,428.28 is: 2,142.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815 : 4,223.58 = 1,428.28 : x
  2. Step 2: Convert to fraction form
    2,815/4,223.58 = 1,428.28/x
  3. Step 3: Cross multiply
    2,815x = 4,223.58 × 1,428.28
  4. Step 4: Simplify right side
    2,815x = 6,032,454.84
  5. Step 5: Solve for x
    x = 6,032,454.84/2,815
  6. Step 6: Final answer
    x = 2,142.97

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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.