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Finding the Fourth Proportional to 2,829.70, 4,243.43 and 854.72

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Solution

The fourth proportional to 2,829.70, 4,243.43 and 854.72 is: 1,281.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.70 : 4,243.43 = 854.72 : x
  2. Step 2: Convert to fraction form
    2,829.70/4,243.43 = 854.72/x
  3. Step 3: Cross multiply
    2,829.70x = 4,243.43 × 854.72
  4. Step 4: Simplify right side
    2,829.70x = 3,626,944.49
  5. Step 5: Solve for x
    x = 3,626,944.49/2,829.70
  6. Step 6: Final answer
    x = 1,281.74

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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.