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Finding the Fourth Proportional to 2,466.75, 3,700.43 and 906.49

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Solution

The fourth proportional to 2,466.75, 3,700.43 and 906.49 is: 1,359.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.75 : 3,700.43 = 906.49 : x
  2. Step 2: Convert to fraction form
    2,466.75/3,700.43 = 906.49/x
  3. Step 3: Cross multiply
    2,466.75x = 3,700.43 × 906.49
  4. Step 4: Simplify right side
    2,466.75x = 3,354,402.79
  5. Step 5: Solve for x
    x = 3,354,402.79/2,466.75
  6. Step 6: Final answer
    x = 1,359.85

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1.5x scale

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.