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Finding the Fourth Proportional to 2,516.18, 3,774.06 and 850.26

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Solution

The fourth proportional to 2,516.18, 3,774.06 and 850.26 is: 1,275.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.18 : 3,774.06 = 850.26 : x
  2. Step 2: Convert to fraction form
    2,516.18/3,774.06 = 850.26/x
  3. Step 3: Cross multiply
    2,516.18x = 3,774.06 × 850.26
  4. Step 4: Simplify right side
    2,516.18x = 3,208,946.41
  5. Step 5: Solve for x
    x = 3,208,946.41/2,516.18
  6. Step 6: Final answer
    x = 1,275.32

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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.