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Finding the Fourth Proportional to 2,431.30, 3,641.55 and 2,107.30

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Solution

The fourth proportional to 2,431.30, 3,641.55 and 2,107.30 is: 3,156.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.30 : 3,641.55 = 2,107.30 : x
  2. Step 2: Convert to fraction form
    2,431.30/3,641.55 = 2,107.30/x
  3. Step 3: Cross multiply
    2,431.30x = 3,641.55 × 2,107.30
  4. Step 4: Simplify right side
    2,431.30x = 7,673,838.32
  5. Step 5: Solve for x
    x = 7,673,838.32/2,431.30
  6. Step 6: Final answer
    x = 3,156.27

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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.