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Finding the Fourth Proportional to 2,832.99, 3,909.98 and 1,574.44

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Solution

The fourth proportional to 2,832.99, 3,909.98 and 1,574.44 is: 2,172.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.99 : 3,909.98 = 1,574.44 : x
  2. Step 2: Convert to fraction form
    2,832.99/3,909.98 = 1,574.44/x
  3. Step 3: Cross multiply
    2,832.99x = 3,909.98 × 1,574.44
  4. Step 4: Simplify right side
    2,832.99x = 6,156,028.91
  5. Step 5: Solve for x
    x = 6,156,028.91/2,832.99
  6. Step 6: Final answer
    x = 2,172.98

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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.