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Finding the Fourth Proportional to 2,812.61, 4,216.09 and 962.46

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Solution

The fourth proportional to 2,812.61, 4,216.09 and 962.46 is: 1,442.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.61 : 4,216.09 = 962.46 : x
  2. Step 2: Convert to fraction form
    2,812.61/4,216.09 = 962.46/x
  3. Step 3: Cross multiply
    2,812.61x = 4,216.09 × 962.46
  4. Step 4: Simplify right side
    2,812.61x = 4,057,817.98
  5. Step 5: Solve for x
    x = 4,057,817.98/2,812.61
  6. Step 6: Final answer
    x = 1,442.72

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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.