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Finding the Fourth Proportional to 2,322.27, 3,484.01 and 762.51

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Solution

The fourth proportional to 2,322.27, 3,484.01 and 762.51 is: 1,143.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.27 : 3,484.01 = 762.51 : x
  2. Step 2: Convert to fraction form
    2,322.27/3,484.01 = 762.51/x
  3. Step 3: Cross multiply
    2,322.27x = 3,484.01 × 762.51
  4. Step 4: Simplify right side
    2,322.27x = 2,656,607.44
  5. Step 5: Solve for x
    x = 2,656,607.44/2,322.27
  6. Step 6: Final answer
    x = 1,143.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.