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Finding the Fourth Proportional to 1,868.73, 2,783.92 and 1,784.49

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Solution

The fourth proportional to 1,868.73, 2,783.92 and 1,784.49 is: 2,658.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,868.73 : 2,783.92 = 1,784.49 : x
  2. Step 2: Convert to fraction form
    1,868.73/2,783.92 = 1,784.49/x
  3. Step 3: Cross multiply
    1,868.73x = 2,783.92 × 1,784.49
  4. Step 4: Simplify right side
    1,868.73x = 4,967,877.40
  5. Step 5: Solve for x
    x = 4,967,877.40/1,868.73
  6. Step 6: Final answer
    x = 2,658.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.