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Finding the Fourth Proportional to 3,430.23, 5,145.33 and 833.16

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Solution

The fourth proportional to 3,430.23, 5,145.33 and 833.16 is: 1,249.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.23 : 5,145.33 = 833.16 : x
  2. Step 2: Convert to fraction form
    3,430.23/5,145.33 = 833.16/x
  3. Step 3: Cross multiply
    3,430.23x = 5,145.33 × 833.16
  4. Step 4: Simplify right side
    3,430.23x = 4,286,883.14
  5. Step 5: Solve for x
    x = 4,286,883.14/3,430.23
  6. Step 6: Final answer
    x = 1,249.74

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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.