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Finding the Fourth Proportional to 2,642.76, 3,647.23 and 1,523.81

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Solution

The fourth proportional to 2,642.76, 3,647.23 and 1,523.81 is: 2,102.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.76 : 3,647.23 = 1,523.81 : x
  2. Step 2: Convert to fraction form
    2,642.76/3,647.23 = 1,523.81/x
  3. Step 3: Cross multiply
    2,642.76x = 3,647.23 × 1,523.81
  4. Step 4: Simplify right side
    2,642.76x = 5,557,690.85
  5. Step 5: Solve for x
    x = 5,557,690.85/2,642.76
  6. Step 6: Final answer
    x = 2,102.99

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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.