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Finding the Fourth Proportional to 2,408.34, 3,613.00 and 1,368.84

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Solution

The fourth proportional to 2,408.34, 3,613.00 and 1,368.84 is: 2,053.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.34 : 3,613.00 = 1,368.84 : x
  2. Step 2: Convert to fraction form
    2,408.34/3,613.00 = 1,368.84/x
  3. Step 3: Cross multiply
    2,408.34x = 3,613.00 × 1,368.84
  4. Step 4: Simplify right side
    2,408.34x = 4,945,615.50
  5. Step 5: Solve for x
    x = 4,945,615.50/2,408.34
  6. Step 6: Final answer
    x = 2,053.54

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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.