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Finding the Fourth Proportional to 3,066.57, 4,231.89 and 1,669.32

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Solution

The fourth proportional to 3,066.57, 4,231.89 and 1,669.32 is: 2,303.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.57 : 4,231.89 = 1,669.32 : x
  2. Step 2: Convert to fraction form
    3,066.57/4,231.89 = 1,669.32/x
  3. Step 3: Cross multiply
    3,066.57x = 4,231.89 × 1,669.32
  4. Step 4: Simplify right side
    3,066.57x = 7,064,378.61
  5. Step 5: Solve for x
    x = 7,064,378.61/3,066.57
  6. Step 6: Final answer
    x = 2,303.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.