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Finding the Fourth Proportional to 1,563.44, 2,345.16 and 1,382.60

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Solution

The fourth proportional to 1,563.44, 2,345.16 and 1,382.60 is: 2,073.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.44 : 2,345.16 = 1,382.60 : x
  2. Step 2: Convert to fraction form
    1,563.44/2,345.16 = 1,382.60/x
  3. Step 3: Cross multiply
    1,563.44x = 2,345.16 × 1,382.60
  4. Step 4: Simplify right side
    1,563.44x = 3,242,418.22
  5. Step 5: Solve for x
    x = 3,242,418.22/1,563.44
  6. Step 6: Final answer
    x = 2,073.90

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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.