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Finding the Fourth Proportional to 1,648.44, 2,485.11 and 1,559.13

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Solution

The fourth proportional to 1,648.44, 2,485.11 and 1,559.13 is: 2,350.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.44 : 2,485.11 = 1,559.13 : x
  2. Step 2: Convert to fraction form
    1,648.44/2,485.11 = 1,559.13/x
  3. Step 3: Cross multiply
    1,648.44x = 2,485.11 × 1,559.13
  4. Step 4: Simplify right side
    1,648.44x = 3,874,609.55
  5. Step 5: Solve for x
    x = 3,874,609.55/1,648.44
  6. Step 6: Final answer
    x = 2,350.47

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.