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Finding the Fourth Proportional to 2,132.21, 3,197.54 and 745.16

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Solution

The fourth proportional to 2,132.21, 3,197.54 and 745.16 is: 1,117.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.21 : 3,197.54 = 745.16 : x
  2. Step 2: Convert to fraction form
    2,132.21/3,197.54 = 745.16/x
  3. Step 3: Cross multiply
    2,132.21x = 3,197.54 × 745.16
  4. Step 4: Simplify right side
    2,132.21x = 2,382,664.78
  5. Step 5: Solve for x
    x = 2,382,664.78/2,132.21
  6. Step 6: Final answer
    x = 1,117.46

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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.