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Finding the Fourth Proportional to 1,929.41, 2,662.60 and 1,090.15

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Solution

The fourth proportional to 1,929.41, 2,662.60 and 1,090.15 is: 1,504.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929.41 : 2,662.60 = 1,090.15 : x
  2. Step 2: Convert to fraction form
    1,929.41/2,662.60 = 1,090.15/x
  3. Step 3: Cross multiply
    1,929.41x = 2,662.60 × 1,090.15
  4. Step 4: Simplify right side
    1,929.41x = 2,902,633.39
  5. Step 5: Solve for x
    x = 2,902,633.39/1,929.41
  6. Step 6: Final answer
    x = 1,504.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.