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Finding the Fourth Proportional to 3,153.42, 4,729.80 and 962.22

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Solution

The fourth proportional to 3,153.42, 4,729.80 and 962.22 is: 1,443.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.42 : 4,729.80 = 962.22 : x
  2. Step 2: Convert to fraction form
    3,153.42/4,729.80 = 962.22/x
  3. Step 3: Cross multiply
    3,153.42x = 4,729.80 × 962.22
  4. Step 4: Simplify right side
    3,153.42x = 4,551,108.16
  5. Step 5: Solve for x
    x = 4,551,108.16/3,153.42
  6. Step 6: Final answer
    x = 1,443.23

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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.