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Finding the Fourth Proportional to 2,915.94, 4,023.90 and 1,736.40

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Solution

The fourth proportional to 2,915.94, 4,023.90 and 1,736.40 is: 2,396.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,915.94 : 4,023.90 = 1,736.40 : x
  2. Step 2: Convert to fraction form
    2,915.94/4,023.90 = 1,736.40/x
  3. Step 3: Cross multiply
    2,915.94x = 4,023.90 × 1,736.40
  4. Step 4: Simplify right side
    2,915.94x = 6,987,099.96
  5. Step 5: Solve for x
    x = 6,987,099.96/2,915.94
  6. Step 6: Final answer
    x = 2,396.17

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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.