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Finding the Fourth Proportional to 2,368.11, 3,552.17 and 828.75

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Solution

The fourth proportional to 2,368.11, 3,552.17 and 828.75 is: 1,243.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.11 : 3,552.17 = 828.75 : x
  2. Step 2: Convert to fraction form
    2,368.11/3,552.17 = 828.75/x
  3. Step 3: Cross multiply
    2,368.11x = 3,552.17 × 828.75
  4. Step 4: Simplify right side
    2,368.11x = 2,943,856.74
  5. Step 5: Solve for x
    x = 2,943,856.74/2,368.11
  6. Step 6: Final answer
    x = 1,243.13

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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.