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Finding the Fourth Proportional to 3,153.38, 4,730.50 and 962.26

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Solution

The fourth proportional to 3,153.38, 4,730.50 and 962.26 is: 1,443.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.38 : 4,730.50 = 962.26 : x
  2. Step 2: Convert to fraction form
    3,153.38/4,730.50 = 962.26/x
  3. Step 3: Cross multiply
    3,153.38x = 4,730.50 × 962.26
  4. Step 4: Simplify right side
    3,153.38x = 4,551,970.93
  5. Step 5: Solve for x
    x = 4,551,970.93/3,153.38
  6. Step 6: Final answer
    x = 1,443.52

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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.