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Finding the Fourth Proportional to 2,461.44, 3,692.23 and 818.15

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Solution

The fourth proportional to 2,461.44, 3,692.23 and 818.15 is: 1,227.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.44 : 3,692.23 = 818.15 : x
  2. Step 2: Convert to fraction form
    2,461.44/3,692.23 = 818.15/x
  3. Step 3: Cross multiply
    2,461.44x = 3,692.23 × 818.15
  4. Step 4: Simplify right side
    2,461.44x = 3,020,802.84
  5. Step 5: Solve for x
    x = 3,020,802.84/2,461.44
  6. Step 6: Final answer
    x = 1,227.25

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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.