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Finding the Fourth Proportional to 3,066.42, 4,606.11 and 1,605.18

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Solution

The fourth proportional to 3,066.42, 4,606.11 and 1,605.18 is: 2,411.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.42 : 4,606.11 = 1,605.18 : x
  2. Step 2: Convert to fraction form
    3,066.42/4,606.11 = 1,605.18/x
  3. Step 3: Cross multiply
    3,066.42x = 4,606.11 × 1,605.18
  4. Step 4: Simplify right side
    3,066.42x = 7,393,635.65
  5. Step 5: Solve for x
    x = 7,393,635.65/3,066.42
  6. Step 6: Final answer
    x = 2,411.16

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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.