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Finding the Fourth Proportional to 2,692.22, 3,715.17 and 1,497.20

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Solution

The fourth proportional to 2,692.22, 3,715.17 and 1,497.20 is: 2,066.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.22 : 3,715.17 = 1,497.20 : x
  2. Step 2: Convert to fraction form
    2,692.22/3,715.17 = 1,497.20/x
  3. Step 3: Cross multiply
    2,692.22x = 3,715.17 × 1,497.20
  4. Step 4: Simplify right side
    2,692.22x = 5,562,352.52
  5. Step 5: Solve for x
    x = 5,562,352.52/2,692.22
  6. Step 6: Final answer
    x = 2,066.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.