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Finding the Fourth Proportional to 2,466.63, 3,700.26 and 906.42

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Solution

The fourth proportional to 2,466.63, 3,700.26 and 906.42 is: 1,359.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.63 : 3,700.26 = 906.42 : x
  2. Step 2: Convert to fraction form
    2,466.63/3,700.26 = 906.42/x
  3. Step 3: Cross multiply
    2,466.63x = 3,700.26 × 906.42
  4. Step 4: Simplify right side
    2,466.63x = 3,353,989.67
  5. Step 5: Solve for x
    x = 3,353,989.67/2,466.63
  6. Step 6: Final answer
    x = 1,359.75

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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.