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Finding the Fourth Proportional to 2,642.94, 3,647.04 and 1,523.12

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Solution

The fourth proportional to 2,642.94, 3,647.04 and 1,523.12 is: 2,101.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.94 : 3,647.04 = 1,523.12 : x
  2. Step 2: Convert to fraction form
    2,642.94/3,647.04 = 1,523.12/x
  3. Step 3: Cross multiply
    2,642.94x = 3,647.04 × 1,523.12
  4. Step 4: Simplify right side
    2,642.94x = 5,554,871.95
  5. Step 5: Solve for x
    x = 5,554,871.95/2,642.94
  6. Step 6: Final answer
    x = 2,101.78

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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.