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Finding the Fourth Proportional to 2,357.75, 3,254.09 and 1,363.64

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Solution

The fourth proportional to 2,357.75, 3,254.09 and 1,363.64 is: 1,882.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.75 : 3,254.09 = 1,363.64 : x
  2. Step 2: Convert to fraction form
    2,357.75/3,254.09 = 1,363.64/x
  3. Step 3: Cross multiply
    2,357.75x = 3,254.09 × 1,363.64
  4. Step 4: Simplify right side
    2,357.75x = 4,437,394.43
  5. Step 5: Solve for x
    x = 4,437,394.43/2,357.75
  6. Step 6: Final answer
    x = 1,882.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.