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Finding the Fourth Proportional to 2,466.32, 3,700.22 and 734.94

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Solution

The fourth proportional to 2,466.32, 3,700.22 and 734.94 is: 1,102.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.32 : 3,700.22 = 734.94 : x
  2. Step 2: Convert to fraction form
    2,466.32/3,700.22 = 734.94/x
  3. Step 3: Cross multiply
    2,466.32x = 3,700.22 × 734.94
  4. Step 4: Simplify right side
    2,466.32x = 2,719,436.01
  5. Step 5: Solve for x
    x = 2,719,436.01/2,466.32
  6. Step 6: Final answer
    x = 1,102.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.