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Finding the Fourth Proportional to 3,430.35, 5,145.51 and 833.30

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Solution

The fourth proportional to 3,430.35, 5,145.51 and 833.30 is: 1,249.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.35 : 5,145.51 = 833.30 : x
  2. Step 2: Convert to fraction form
    3,430.35/5,145.51 = 833.30/x
  3. Step 3: Cross multiply
    3,430.35x = 5,145.51 × 833.30
  4. Step 4: Simplify right side
    3,430.35x = 4,287,727.76
  5. Step 5: Solve for x
    x = 4,287,727.76/3,430.35
  6. Step 6: Final answer
    x = 1,249.94

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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.