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Finding the Fourth Proportional to 2,832.87, 3,909.23 and 1,574.01

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Solution

The fourth proportional to 2,832.87, 3,909.23 and 1,574.01 is: 2,172.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.87 : 3,909.23 = 1,574.01 : x
  2. Step 2: Convert to fraction form
    2,832.87/3,909.23 = 1,574.01/x
  3. Step 3: Cross multiply
    2,832.87x = 3,909.23 × 1,574.01
  4. Step 4: Simplify right side
    2,832.87x = 6,153,165.14
  5. Step 5: Solve for x
    x = 6,153,165.14/2,832.87
  6. Step 6: Final answer
    x = 2,172.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.