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Finding the Fourth Proportional to 2,408.68, 3,607.80 and 1,173.52

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Solution

The fourth proportional to 2,408.68, 3,607.80 and 1,173.52 is: 1,757.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.68 : 3,607.80 = 1,173.52 : x
  2. Step 2: Convert to fraction form
    2,408.68/3,607.80 = 1,173.52/x
  3. Step 3: Cross multiply
    2,408.68x = 3,607.80 × 1,173.52
  4. Step 4: Simplify right side
    2,408.68x = 4,233,825.46
  5. Step 5: Solve for x
    x = 4,233,825.46/2,408.68
  6. Step 6: Final answer
    x = 1,757.74

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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.