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Finding the Fourth Proportional to 2,066.64, 3,099.98 and 1,451.31

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Solution

The fourth proportional to 2,066.64, 3,099.98 and 1,451.31 is: 2,176.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.64 : 3,099.98 = 1,451.31 : x
  2. Step 2: Convert to fraction form
    2,066.64/3,099.98 = 1,451.31/x
  3. Step 3: Cross multiply
    2,066.64x = 3,099.98 × 1,451.31
  4. Step 4: Simplify right side
    2,066.64x = 4,499,031.97
  5. Step 5: Solve for x
    x = 4,499,031.97/2,066.64
  6. Step 6: Final answer
    x = 2,176.98

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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.