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Finding the Fourth Proportional to 2,408.85, 3,613.52 and 653.89

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Solution

The fourth proportional to 2,408.85, 3,613.52 and 653.89 is: 980.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.85 : 3,613.52 = 653.89 : x
  2. Step 2: Convert to fraction form
    2,408.85/3,613.52 = 653.89/x
  3. Step 3: Cross multiply
    2,408.85x = 3,613.52 × 653.89
  4. Step 4: Simplify right side
    2,408.85x = 2,362,826.53
  5. Step 5: Solve for x
    x = 2,362,826.53/2,408.85
  6. Step 6: Final answer
    x = 980.89

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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.