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Finding the Fourth Proportional to 1,866.28, 2,561.21 and 1,670.80

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Solution

The fourth proportional to 1,866.28, 2,561.21 and 1,670.80 is: 2,292.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.28 : 2,561.21 = 1,670.80 : x
  2. Step 2: Convert to fraction form
    1,866.28/2,561.21 = 1,670.80/x
  3. Step 3: Cross multiply
    1,866.28x = 2,561.21 × 1,670.80
  4. Step 4: Simplify right side
    1,866.28x = 4,279,269.67
  5. Step 5: Solve for x
    x = 4,279,269.67/1,866.28
  6. Step 6: Final answer
    x = 2,292.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.