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Finding the Fourth Proportional to 2,408.57, 3,613.28 and 848.45

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Solution

The fourth proportional to 2,408.57, 3,613.28 and 848.45 is: 1,272.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.57 : 3,613.28 = 848.45 : x
  2. Step 2: Convert to fraction form
    2,408.57/3,613.28 = 848.45/x
  3. Step 3: Cross multiply
    2,408.57x = 3,613.28 × 848.45
  4. Step 4: Simplify right side
    2,408.57x = 3,065,683.17
  5. Step 5: Solve for x
    x = 3,065,683.17/2,408.57
  6. Step 6: Final answer
    x = 1,272.82

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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.