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Finding the Fourth Proportional to 1,937, 2,906.06 and 569

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Solution

The fourth proportional to 1,937, 2,906.06 and 569 is: 853.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,937 : 2,906.06 = 569 : x
  2. Step 2: Convert to fraction form
    1,937/2,906.06 = 569/x
  3. Step 3: Cross multiply
    1,937x = 2,906.06 × 569
  4. Step 4: Simplify right side
    1,937x = 1,653,548.14
  5. Step 5: Solve for x
    x = 1,653,548.14/1,937
  6. Step 6: Final answer
    x = 853.66

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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.