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Finding the Fourth Proportional to 2,322.05, 3,203.66 and 1,424.86

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Solution

The fourth proportional to 2,322.05, 3,203.66 and 1,424.86 is: 1,965.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.05 : 3,203.66 = 1,424.86 : x
  2. Step 2: Convert to fraction form
    2,322.05/3,203.66 = 1,424.86/x
  3. Step 3: Cross multiply
    2,322.05x = 3,203.66 × 1,424.86
  4. Step 4: Simplify right side
    2,322.05x = 4,564,762.54
  5. Step 5: Solve for x
    x = 4,564,762.54/2,322.05
  6. Step 6: Final answer
    x = 1,965.84

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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.