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Finding the Fourth Proportional to 2,142.80, 3,214.20 and 603.80

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Solution

The fourth proportional to 2,142.80, 3,214.20 and 603.80 is: 905.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.80 : 3,214.20 = 603.80 : x
  2. Step 2: Convert to fraction form
    2,142.80/3,214.20 = 603.80/x
  3. Step 3: Cross multiply
    2,142.80x = 3,214.20 × 603.80
  4. Step 4: Simplify right side
    2,142.80x = 1,940,733.96
  5. Step 5: Solve for x
    x = 1,940,733.96/2,142.80
  6. Step 6: Final answer
    x = 905.70

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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.