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Finding the Fourth Proportional to 2,066.29, 3,101.48 and 1,609.07

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Solution

The fourth proportional to 2,066.29, 3,101.48 and 1,609.07 is: 2,415.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.29 : 3,101.48 = 1,609.07 : x
  2. Step 2: Convert to fraction form
    2,066.29/3,101.48 = 1,609.07/x
  3. Step 3: Cross multiply
    2,066.29x = 3,101.48 × 1,609.07
  4. Step 4: Simplify right side
    2,066.29x = 4,990,498.42
  5. Step 5: Solve for x
    x = 4,990,498.42/2,066.29
  6. Step 6: Final answer
    x = 2,415.20

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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.