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Finding the Fourth Proportional to 2,408.74, 3,613.62 and 848.68

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Solution

The fourth proportional to 2,408.74, 3,613.62 and 848.68 is: 1,273.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.74 : 3,613.62 = 848.68 : x
  2. Step 2: Convert to fraction form
    2,408.74/3,613.62 = 848.68/x
  3. Step 3: Cross multiply
    2,408.74x = 3,613.62 × 848.68
  4. Step 4: Simplify right side
    2,408.74x = 3,066,807.02
  5. Step 5: Solve for x
    x = 3,066,807.02/2,408.74
  6. Step 6: Final answer
    x = 1,273.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.