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Finding the Fourth Proportional to 2,641.30, 3,643.80 and 1,521.83

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Solution

The fourth proportional to 2,641.30, 3,643.80 and 1,521.83 is: 2,099.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.30 : 3,643.80 = 1,521.83 : x
  2. Step 2: Convert to fraction form
    2,641.30/3,643.80 = 1,521.83/x
  3. Step 3: Cross multiply
    2,641.30x = 3,643.80 × 1,521.83
  4. Step 4: Simplify right side
    2,641.30x = 5,545,244.15
  5. Step 5: Solve for x
    x = 5,545,244.15/2,641.30
  6. Step 6: Final answer
    x = 2,099.44

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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.