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Finding the Fourth Proportional to 2,402.06, 3,597.62 and 1,672.18

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Solution

The fourth proportional to 2,402.06, 3,597.62 and 1,672.18 is: 2,504.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.06 : 3,597.62 = 1,672.18 : x
  2. Step 2: Convert to fraction form
    2,402.06/3,597.62 = 1,672.18/x
  3. Step 3: Cross multiply
    2,402.06x = 3,597.62 × 1,672.18
  4. Step 4: Simplify right side
    2,402.06x = 6,015,850.86
  5. Step 5: Solve for x
    x = 6,015,850.86/2,402.06
  6. Step 6: Final answer
    x = 2,504.46

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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.