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Finding the Fourth Proportional to 1,844.63, 2,546.42 and 1,215.17

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Solution

The fourth proportional to 1,844.63, 2,546.42 and 1,215.17 is: 1,677.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,844.63 : 2,546.42 = 1,215.17 : x
  2. Step 2: Convert to fraction form
    1,844.63/2,546.42 = 1,215.17/x
  3. Step 3: Cross multiply
    1,844.63x = 2,546.42 × 1,215.17
  4. Step 4: Simplify right side
    1,844.63x = 3,094,314.38
  5. Step 5: Solve for x
    x = 3,094,314.38/1,844.63
  6. Step 6: Final answer
    x = 1,677.48

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Why These Related Problems?

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