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Finding the Fourth Proportional to 2,108.12, 3,162.18 and 569.08

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Solution

The fourth proportional to 2,108.12, 3,162.18 and 569.08 is: 853.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.12 : 3,162.18 = 569.08 : x
  2. Step 2: Convert to fraction form
    2,108.12/3,162.18 = 569.08/x
  3. Step 3: Cross multiply
    2,108.12x = 3,162.18 × 569.08
  4. Step 4: Simplify right side
    2,108.12x = 1,799,533.39
  5. Step 5: Solve for x
    x = 1,799,533.39/2,108.12
  6. Step 6: Final answer
    x = 853.62

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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.