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Finding the Fourth Proportional to 2,849.44, 4,274.16 and 903.02

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Solution

The fourth proportional to 2,849.44, 4,274.16 and 903.02 is: 1,354.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,849.44 : 4,274.16 = 903.02 : x
  2. Step 2: Convert to fraction form
    2,849.44/4,274.16 = 903.02/x
  3. Step 3: Cross multiply
    2,849.44x = 4,274.16 × 903.02
  4. Step 4: Simplify right side
    2,849.44x = 3,859,651.96
  5. Step 5: Solve for x
    x = 3,859,651.96/2,849.44
  6. Step 6: Final answer
    x = 1,354.53

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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.