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Finding the Fourth Proportional to 2,801.79, 3,865.32 and 1,682.37

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Solution

The fourth proportional to 2,801.79, 3,865.32 and 1,682.37 is: 2,320.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.79 : 3,865.32 = 1,682.37 : x
  2. Step 2: Convert to fraction form
    2,801.79/3,865.32 = 1,682.37/x
  3. Step 3: Cross multiply
    2,801.79x = 3,865.32 × 1,682.37
  4. Step 4: Simplify right side
    2,801.79x = 6,502,898.41
  5. Step 5: Solve for x
    x = 6,502,898.41/2,801.79
  6. Step 6: Final answer
    x = 2,320.98

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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.