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Finding the Fourth Proportional to 3,098.57, 4,648.93 and 1,455.35

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Solution

The fourth proportional to 3,098.57, 4,648.93 and 1,455.35 is: 2,183.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.57 : 4,648.93 = 1,455.35 : x
  2. Step 2: Convert to fraction form
    3,098.57/4,648.93 = 1,455.35/x
  3. Step 3: Cross multiply
    3,098.57x = 4,648.93 × 1,455.35
  4. Step 4: Simplify right side
    3,098.57x = 6,765,793.39
  5. Step 5: Solve for x
    x = 6,765,793.39/3,098.57
  6. Step 6: Final answer
    x = 2,183.52

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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.