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Finding the Fourth Proportional to 1,844.71, 2,543.21 and 1,787.38

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Solution

The fourth proportional to 1,844.71, 2,543.21 and 1,787.38 is: 2,464.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,844.71 : 2,543.21 = 1,787.38 : x
  2. Step 2: Convert to fraction form
    1,844.71/2,543.21 = 1,787.38/x
  3. Step 3: Cross multiply
    1,844.71x = 2,543.21 × 1,787.38
  4. Step 4: Simplify right side
    1,844.71x = 4,545,667.39
  5. Step 5: Solve for x
    x = 4,545,667.39/1,844.71
  6. Step 6: Final answer
    x = 2,464.17

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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.