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Finding the Fourth Proportional to 2,408.84, 3,613.49 and 653.87

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Solution

The fourth proportional to 2,408.84, 3,613.49 and 653.87 is: 980.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.84 : 3,613.49 = 653.87 : x
  2. Step 2: Convert to fraction form
    2,408.84/3,613.49 = 653.87/x
  3. Step 3: Cross multiply
    2,408.84x = 3,613.49 × 653.87
  4. Step 4: Simplify right side
    2,408.84x = 2,362,760.92
  5. Step 5: Solve for x
    x = 2,362,760.92/2,408.84
  6. Step 6: Final answer
    x = 980.87

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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.