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Finding the Fourth Proportional to 3,066.50, 4,231.86 and 1,669.34

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Solution

The fourth proportional to 3,066.50, 4,231.86 and 1,669.34 is: 2,303.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.50 : 4,231.86 = 1,669.34 : x
  2. Step 2: Convert to fraction form
    3,066.50/4,231.86 = 1,669.34/x
  3. Step 3: Cross multiply
    3,066.50x = 4,231.86 × 1,669.34
  4. Step 4: Simplify right side
    3,066.50x = 7,064,413.17
  5. Step 5: Solve for x
    x = 7,064,413.17/3,066.50
  6. Step 6: Final answer
    x = 2,303.74

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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.