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Finding the Fourth Proportional to 3,103.47, 4,648.52 and 1,457.55

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Solution

The fourth proportional to 3,103.47, 4,648.52 and 1,457.55 is: 2,183.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.47 : 4,648.52 = 1,457.55 : x
  2. Step 2: Convert to fraction form
    3,103.47/4,648.52 = 1,457.55/x
  3. Step 3: Cross multiply
    3,103.47x = 4,648.52 × 1,457.55
  4. Step 4: Simplify right side
    3,103.47x = 6,775,443.04
  5. Step 5: Solve for x
    x = 6,775,443.04/3,103.47
  6. Step 6: Final answer
    x = 2,183.18

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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.