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Finding the Fourth Proportional to 1,844.77, 2,546.71 and 1,216.21

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Solution

The fourth proportional to 1,844.77, 2,546.71 and 1,216.21 is: 1,678.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,844.77 : 2,546.71 = 1,216.21 : x
  2. Step 2: Convert to fraction form
    1,844.77/2,546.71 = 1,216.21/x
  3. Step 3: Cross multiply
    1,844.77x = 2,546.71 × 1,216.21
  4. Step 4: Simplify right side
    1,844.77x = 3,097,315.35
  5. Step 5: Solve for x
    x = 3,097,315.35/1,844.77
  6. Step 6: Final answer
    x = 1,678.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.