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Finding the Fourth Proportional to 1,627.83, 2,442.08 and 805.14

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Solution

The fourth proportional to 1,627.83, 2,442.08 and 805.14 is: 1,207.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.83 : 2,442.08 = 805.14 : x
  2. Step 2: Convert to fraction form
    1,627.83/2,442.08 = 805.14/x
  3. Step 3: Cross multiply
    1,627.83x = 2,442.08 × 805.14
  4. Step 4: Simplify right side
    1,627.83x = 1,966,218.30
  5. Step 5: Solve for x
    x = 1,966,218.30/1,627.83
  6. Step 6: Final answer
    x = 1,207.88

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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.