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Finding the Fourth Proportional to 1,602.10, 2,207.62 and 1,181.79

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Solution

The fourth proportional to 1,602.10, 2,207.62 and 1,181.79 is: 1,628.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.10 : 2,207.62 = 1,181.79 : x
  2. Step 2: Convert to fraction form
    1,602.10/2,207.62 = 1,181.79/x
  3. Step 3: Cross multiply
    1,602.10x = 2,207.62 × 1,181.79
  4. Step 4: Simplify right side
    1,602.10x = 2,608,934.77
  5. Step 5: Solve for x
    x = 2,608,934.77/1,602.10
  6. Step 6: Final answer
    x = 1,628.45

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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.