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Finding the Fourth Proportional to 1,930.01, 2,892.56 and 1,609.25

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Solution

The fourth proportional to 1,930.01, 2,892.56 and 1,609.25 is: 2,411.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.01 : 2,892.56 = 1,609.25 : x
  2. Step 2: Convert to fraction form
    1,930.01/2,892.56 = 1,609.25/x
  3. Step 3: Cross multiply
    1,930.01x = 2,892.56 × 1,609.25
  4. Step 4: Simplify right side
    1,930.01x = 4,654,829.67
  5. Step 5: Solve for x
    x = 4,654,829.67/1,930.01
  6. Step 6: Final answer
    x = 2,411.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.