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Finding the Fourth Proportional to 2,562.36, 3,844.92 and 1,101.63

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Solution

The fourth proportional to 2,562.36, 3,844.92 and 1,101.63 is: 1,653.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.36 : 3,844.92 = 1,101.63 : x
  2. Step 2: Convert to fraction form
    2,562.36/3,844.92 = 1,101.63/x
  3. Step 3: Cross multiply
    2,562.36x = 3,844.92 × 1,101.63
  4. Step 4: Simplify right side
    2,562.36x = 4,235,679.22
  5. Step 5: Solve for x
    x = 4,235,679.22/2,562.36
  6. Step 6: Final answer
    x = 1,653.04

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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.