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Finding the Fourth Proportional to 1,266.64, 1,900.49 and 1,164.47

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Solution

The fourth proportional to 1,266.64, 1,900.49 and 1,164.47 is: 1,747.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.64 : 1,900.49 = 1,164.47 : x
  2. Step 2: Convert to fraction form
    1,266.64/1,900.49 = 1,164.47/x
  3. Step 3: Cross multiply
    1,266.64x = 1,900.49 × 1,164.47
  4. Step 4: Simplify right side
    1,266.64x = 2,213,057.00
  5. Step 5: Solve for x
    x = 2,213,057.00/1,266.64
  6. Step 6: Final answer
    x = 1,747.19

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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.