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Finding the Fourth Proportional to 2,613.84, 3,608.82 and 1,620.58

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Solution

The fourth proportional to 2,613.84, 3,608.82 and 1,620.58 is: 2,237.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.84 : 3,608.82 = 1,620.58 : x
  2. Step 2: Convert to fraction form
    2,613.84/3,608.82 = 1,620.58/x
  3. Step 3: Cross multiply
    2,613.84x = 3,608.82 × 1,620.58
  4. Step 4: Simplify right side
    2,613.84x = 5,848,381.52
  5. Step 5: Solve for x
    x = 5,848,381.52/2,613.84
  6. Step 6: Final answer
    x = 2,237.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.