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Finding the Fourth Proportional to 2,653.98, 3,975.56 and 1,263.12

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Solution

The fourth proportional to 2,653.98, 3,975.56 and 1,263.12 is: 1,892.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.98 : 3,975.56 = 1,263.12 : x
  2. Step 2: Convert to fraction form
    2,653.98/3,975.56 = 1,263.12/x
  3. Step 3: Cross multiply
    2,653.98x = 3,975.56 × 1,263.12
  4. Step 4: Simplify right side
    2,653.98x = 5,021,609.35
  5. Step 5: Solve for x
    x = 5,021,609.35/2,653.98
  6. Step 6: Final answer
    x = 1,892.11

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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.