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Finding the Fourth Proportional to 1,266.47, 1,890.54 and 1,094.24

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Solution

The fourth proportional to 1,266.47, 1,890.54 and 1,094.24 is: 1,633.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.47 : 1,890.54 = 1,094.24 : x
  2. Step 2: Convert to fraction form
    1,266.47/1,890.54 = 1,094.24/x
  3. Step 3: Cross multiply
    1,266.47x = 1,890.54 × 1,094.24
  4. Step 4: Simplify right side
    1,266.47x = 2,068,709.22
  5. Step 5: Solve for x
    x = 2,068,709.22/1,266.47
  6. Step 6: Final answer
    x = 1,633.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.