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Finding the Fourth Proportional to 2,563.47, 3,845.32 and 1,330.10

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Solution

The fourth proportional to 2,563.47, 3,845.32 and 1,330.10 is: 1,995.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.47 : 3,845.32 = 1,330.10 : x
  2. Step 2: Convert to fraction form
    2,563.47/3,845.32 = 1,330.10/x
  3. Step 3: Cross multiply
    2,563.47x = 3,845.32 × 1,330.10
  4. Step 4: Simplify right side
    2,563.47x = 5,114,660.13
  5. Step 5: Solve for x
    x = 5,114,660.13/2,563.47
  6. Step 6: Final answer
    x = 1,995.21

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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.