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Finding the Fourth Proportional to 3,056.02, 4,583.45 and 864.22

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Solution

The fourth proportional to 3,056.02, 4,583.45 and 864.22 is: 1,296.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,056.02 : 4,583.45 = 864.22 : x
  2. Step 2: Convert to fraction form
    3,056.02/4,583.45 = 864.22/x
  3. Step 3: Cross multiply
    3,056.02x = 4,583.45 × 864.22
  4. Step 4: Simplify right side
    3,056.02x = 3,961,104.84
  5. Step 5: Solve for x
    x = 3,961,104.84/3,056.02
  6. Step 6: Final answer
    x = 1,296.16

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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.