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Finding the Fourth Proportional to 3,046.64, 4,569.84 and 1,099.28

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Solution

The fourth proportional to 3,046.64, 4,569.84 and 1,099.28 is: 1,648.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.64 : 4,569.84 = 1,099.28 : x
  2. Step 2: Convert to fraction form
    3,046.64/4,569.84 = 1,099.28/x
  3. Step 3: Cross multiply
    3,046.64x = 4,569.84 × 1,099.28
  4. Step 4: Simplify right side
    3,046.64x = 5,023,533.72
  5. Step 5: Solve for x
    x = 5,023,533.72/3,046.64
  6. Step 6: Final answer
    x = 1,648.88

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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.