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Finding the Fourth Proportional to 2,612.90, 3,915.81 and 1,441.14

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Solution

The fourth proportional to 2,612.90, 3,915.81 and 1,441.14 is: 2,159.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.90 : 3,915.81 = 1,441.14 : x
  2. Step 2: Convert to fraction form
    2,612.90/3,915.81 = 1,441.14/x
  3. Step 3: Cross multiply
    2,612.90x = 3,915.81 × 1,441.14
  4. Step 4: Simplify right side
    2,612.90x = 5,643,240.81
  5. Step 5: Solve for x
    x = 5,643,240.81/2,612.90
  6. Step 6: Final answer
    x = 2,159.77

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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.