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Finding the Fourth Proportional to 2,849.40, 4,274.10 and 797.40

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Solution

The fourth proportional to 2,849.40, 4,274.10 and 797.40 is: 1,196.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,849.40 : 4,274.10 = 797.40 : x
  2. Step 2: Convert to fraction form
    2,849.40/4,274.10 = 797.40/x
  3. Step 3: Cross multiply
    2,849.40x = 4,274.10 × 797.40
  4. Step 4: Simplify right side
    2,849.40x = 3,408,167.34
  5. Step 5: Solve for x
    x = 3,408,167.34/2,849.40
  6. Step 6: Final answer
    x = 1,196.10

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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.