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Finding the Fourth Proportional to 2,592.81, 3,580.61 and 1,846.80

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Solution

The fourth proportional to 2,592.81, 3,580.61 and 1,846.80 is: 2,550.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.81 : 3,580.61 = 1,846.80 : x
  2. Step 2: Convert to fraction form
    2,592.81/3,580.61 = 1,846.80/x
  3. Step 3: Cross multiply
    2,592.81x = 3,580.61 × 1,846.80
  4. Step 4: Simplify right side
    2,592.81x = 6,612,661.31
  5. Step 5: Solve for x
    x = 6,612,661.31/2,592.81
  6. Step 6: Final answer
    x = 2,550.38

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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.