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Finding the Fourth Proportional to 2,133.76, 3,197.28 and 1,208.16

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Solution

The fourth proportional to 2,133.76, 3,197.28 and 1,208.16 is: 1,810.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.76 : 3,197.28 = 1,208.16 : x
  2. Step 2: Convert to fraction form
    2,133.76/3,197.28 = 1,208.16/x
  3. Step 3: Cross multiply
    2,133.76x = 3,197.28 × 1,208.16
  4. Step 4: Simplify right side
    2,133.76x = 3,862,825.80
  5. Step 5: Solve for x
    x = 3,862,825.80/2,133.76
  6. Step 6: Final answer
    x = 1,810.34

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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.