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Finding the Fourth Proportional to 2,368.14, 3,552.20 and 808.28

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Solution

The fourth proportional to 2,368.14, 3,552.20 and 808.28 is: 1,212.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.14 : 3,552.20 = 808.28 : x
  2. Step 2: Convert to fraction form
    2,368.14/3,552.20 = 808.28/x
  3. Step 3: Cross multiply
    2,368.14x = 3,552.20 × 808.28
  4. Step 4: Simplify right side
    2,368.14x = 2,871,171.31
  5. Step 5: Solve for x
    x = 2,871,171.31/2,368.14
  6. Step 6: Final answer
    x = 1,212.42

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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.