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Finding the Fourth Proportional to 2,832.92, 3,909.66 and 1,574.10

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Solution

The fourth proportional to 2,832.92, 3,909.66 and 1,574.10 is: 2,172.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.92 : 3,909.66 = 1,574.10 : x
  2. Step 2: Convert to fraction form
    2,832.92/3,909.66 = 1,574.10/x
  3. Step 3: Cross multiply
    2,832.92x = 3,909.66 × 1,574.10
  4. Step 4: Simplify right side
    2,832.92x = 6,154,195.81
  5. Step 5: Solve for x
    x = 6,154,195.81/2,832.92
  6. Step 6: Final answer
    x = 2,172.39

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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.