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Finding the Fourth Proportional to 1,728.33, 2,368.49 and 1,562.27

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Solution

The fourth proportional to 1,728.33, 2,368.49 and 1,562.27 is: 2,140.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.33 : 2,368.49 = 1,562.27 : x
  2. Step 2: Convert to fraction form
    1,728.33/2,368.49 = 1,562.27/x
  3. Step 3: Cross multiply
    1,728.33x = 2,368.49 × 1,562.27
  4. Step 4: Simplify right side
    1,728.33x = 3,700,201.22
  5. Step 5: Solve for x
    x = 3,700,201.22/1,728.33
  6. Step 6: Final answer
    x = 2,140.91

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.