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Finding the Fourth Proportional to 3,430.89, 5,146.31 and 833.81

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Solution

The fourth proportional to 3,430.89, 5,146.31 and 833.81 is: 1,250.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.89 : 5,146.31 = 833.81 : x
  2. Step 2: Convert to fraction form
    3,430.89/5,146.31 = 833.81/x
  3. Step 3: Cross multiply
    3,430.89x = 5,146.31 × 833.81
  4. Step 4: Simplify right side
    3,430.89x = 4,291,044.74
  5. Step 5: Solve for x
    x = 4,291,044.74/3,430.89
  6. Step 6: Final answer
    x = 1,250.71

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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.