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Finding the Fourth Proportional to 2,108.19, 3,162.28 and 569.19

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Solution

The fourth proportional to 2,108.19, 3,162.28 and 569.19 is: 853.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.19 : 3,162.28 = 569.19 : x
  2. Step 2: Convert to fraction form
    2,108.19/3,162.28 = 569.19/x
  3. Step 3: Cross multiply
    2,108.19x = 3,162.28 × 569.19
  4. Step 4: Simplify right side
    2,108.19x = 1,799,938.15
  5. Step 5: Solve for x
    x = 1,799,938.15/2,108.19
  6. Step 6: Final answer
    x = 853.78

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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.