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Finding the Fourth Proportional to 1,617.42, 2,230.66 and 1,322.16

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Solution

The fourth proportional to 1,617.42, 2,230.66 and 1,322.16 is: 1,823.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.42 : 2,230.66 = 1,322.16 : x
  2. Step 2: Convert to fraction form
    1,617.42/2,230.66 = 1,322.16/x
  3. Step 3: Cross multiply
    1,617.42x = 2,230.66 × 1,322.16
  4. Step 4: Simplify right side
    1,617.42x = 2,949,289.43
  5. Step 5: Solve for x
    x = 2,949,289.43/1,617.42
  6. Step 6: Final answer
    x = 1,823.45

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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.