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Finding the Fourth Proportional to 3,046.65, 4,566.31 and 1,096.57

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Solution

The fourth proportional to 3,046.65, 4,566.31 and 1,096.57 is: 1,643.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.65 : 4,566.31 = 1,096.57 : x
  2. Step 2: Convert to fraction form
    3,046.65/4,566.31 = 1,096.57/x
  3. Step 3: Cross multiply
    3,046.65x = 4,566.31 × 1,096.57
  4. Step 4: Simplify right side
    3,046.65x = 5,007,281.52
  5. Step 5: Solve for x
    x = 5,007,281.52/3,046.65
  6. Step 6: Final answer
    x = 1,643.54

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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.