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Finding the Fourth Proportional to 3,005.22, 4,505.76 and 1,617.16

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Solution

The fourth proportional to 3,005.22, 4,505.76 and 1,617.16 is: 2,424.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.22 : 4,505.76 = 1,617.16 : x
  2. Step 2: Convert to fraction form
    3,005.22/4,505.76 = 1,617.16/x
  3. Step 3: Cross multiply
    3,005.22x = 4,505.76 × 1,617.16
  4. Step 4: Simplify right side
    3,005.22x = 7,286,534.84
  5. Step 5: Solve for x
    x = 7,286,534.84/3,005.22
  6. Step 6: Final answer
    x = 2,424.63

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