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Finding the Fourth Proportional to 2,408.58, 3,613.17 and 948.15

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Solution

The fourth proportional to 2,408.58, 3,613.17 and 948.15 is: 1,422.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.58 : 3,613.17 = 948.15 : x
  2. Step 2: Convert to fraction form
    2,408.58/3,613.17 = 948.15/x
  3. Step 3: Cross multiply
    2,408.58x = 3,613.17 × 948.15
  4. Step 4: Simplify right side
    2,408.58x = 3,425,827.14
  5. Step 5: Solve for x
    x = 3,425,827.14/2,408.58
  6. Step 6: Final answer
    x = 1,422.34

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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.