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Finding the Fourth Proportional to 3,410.98, 4,707.12 and 2,066.65

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Solution

The fourth proportional to 3,410.98, 4,707.12 and 2,066.65 is: 2,851.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.98 : 4,707.12 = 2,066.65 : x
  2. Step 2: Convert to fraction form
    3,410.98/4,707.12 = 2,066.65/x
  3. Step 3: Cross multiply
    3,410.98x = 4,707.12 × 2,066.65
  4. Step 4: Simplify right side
    3,410.98x = 9,727,969.55
  5. Step 5: Solve for x
    x = 9,727,969.55/3,410.98
  6. Step 6: Final answer
    x = 2,851.96

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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.