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Finding the Fourth Proportional to 1,461.71, 2,194.98 and 962.21

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Solution

The fourth proportional to 1,461.71, 2,194.98 and 962.21 is: 1,444.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.71 : 2,194.98 = 962.21 : x
  2. Step 2: Convert to fraction form
    1,461.71/2,194.98 = 962.21/x
  3. Step 3: Cross multiply
    1,461.71x = 2,194.98 × 962.21
  4. Step 4: Simplify right side
    1,461.71x = 2,112,020.73
  5. Step 5: Solve for x
    x = 2,112,020.73/1,461.71
  6. Step 6: Final answer
    x = 1,444.90

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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.