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Finding the Fourth Proportional to 2,408.37, 3,612.15 and 947.94

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Solution

The fourth proportional to 2,408.37, 3,612.15 and 947.94 is: 1,421.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.37 : 3,612.15 = 947.94 : x
  2. Step 2: Convert to fraction form
    2,408.37/3,612.15 = 947.94/x
  3. Step 3: Cross multiply
    2,408.37x = 3,612.15 × 947.94
  4. Step 4: Simplify right side
    2,408.37x = 3,424,101.47
  5. Step 5: Solve for x
    x = 3,424,101.47/2,408.37
  6. Step 6: Final answer
    x = 1,421.75

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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.