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Finding the Fourth Proportional to 2,546.66, 3,815.02 and 1,210.56

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Solution

The fourth proportional to 2,546.66, 3,815.02 and 1,210.56 is: 1,813.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.66 : 3,815.02 = 1,210.56 : x
  2. Step 2: Convert to fraction form
    2,546.66/3,815.02 = 1,210.56/x
  3. Step 3: Cross multiply
    2,546.66x = 3,815.02 × 1,210.56
  4. Step 4: Simplify right side
    2,546.66x = 4,618,291.54
  5. Step 5: Solve for x
    x = 4,618,291.54/2,546.66
  6. Step 6: Final answer
    x = 1,813.47

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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.