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Finding the Fourth Proportional to 2,643.62, 3,647.50 and 1,594.94

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Solution

The fourth proportional to 2,643.62, 3,647.50 and 1,594.94 is: 2,200.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.62 : 3,647.50 = 1,594.94 : x
  2. Step 2: Convert to fraction form
    2,643.62/3,647.50 = 1,594.94/x
  3. Step 3: Cross multiply
    2,643.62x = 3,647.50 × 1,594.94
  4. Step 4: Simplify right side
    2,643.62x = 5,817,521.43
  5. Step 5: Solve for x
    x = 5,817,521.43/2,643.62
  6. Step 6: Final answer
    x = 2,200.59

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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.