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Finding the Fourth Proportional to 2,613, 3,915.39 and 1,441.98

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Solution

The fourth proportional to 2,613, 3,915.39 and 1,441.98 is: 2,160.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613 : 3,915.39 = 1,441.98 : x
  2. Step 2: Convert to fraction form
    2,613/3,915.39 = 1,441.98/x
  3. Step 3: Cross multiply
    2,613x = 3,915.39 × 1,441.98
  4. Step 4: Simplify right side
    2,613x = 5,645,914.07
  5. Step 5: Solve for x
    x = 5,645,914.07/2,613
  6. Step 6: Final answer
    x = 2,160.70

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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.