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Finding the Fourth Proportional to 2,447.20, 3,670.06 and 692.07

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Solution

The fourth proportional to 2,447.20, 3,670.06 and 692.07 is: 1,037.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.20 : 3,670.06 = 692.07 : x
  2. Step 2: Convert to fraction form
    2,447.20/3,670.06 = 692.07/x
  3. Step 3: Cross multiply
    2,447.20x = 3,670.06 × 692.07
  4. Step 4: Simplify right side
    2,447.20x = 2,539,938.42
  5. Step 5: Solve for x
    x = 2,539,938.42/2,447.20
  6. Step 6: Final answer
    x = 1,037.90

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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.