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Finding the Fourth Proportional to 2,292.09, 3,436.03 and 830.89

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Solution

The fourth proportional to 2,292.09, 3,436.03 and 830.89 is: 1,245.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.09 : 3,436.03 = 830.89 : x
  2. Step 2: Convert to fraction form
    2,292.09/3,436.03 = 830.89/x
  3. Step 3: Cross multiply
    2,292.09x = 3,436.03 × 830.89
  4. Step 4: Simplify right side
    2,292.09x = 2,854,962.97
  5. Step 5: Solve for x
    x = 2,854,962.97/2,292.09
  6. Step 6: Final answer
    x = 1,245.57

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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.