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Finding the Fourth Proportional to 3,046.56, 4,566.24 and 1,657.92

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Solution

The fourth proportional to 3,046.56, 4,566.24 and 1,657.92 is: 2,484.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.56 : 4,566.24 = 1,657.92 : x
  2. Step 2: Convert to fraction form
    3,046.56/4,566.24 = 1,657.92/x
  3. Step 3: Cross multiply
    3,046.56x = 4,566.24 × 1,657.92
  4. Step 4: Simplify right side
    3,046.56x = 7,570,460.62
  5. Step 5: Solve for x
    x = 7,570,460.62/3,046.56
  6. Step 6: Final answer
    x = 2,484.92

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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.