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Finding the Fourth Proportional to 1,859.79, 2,566.58 and 1,063.23

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Solution

The fourth proportional to 1,859.79, 2,566.58 and 1,063.23 is: 1,467.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859.79 : 2,566.58 = 1,063.23 : x
  2. Step 2: Convert to fraction form
    1,859.79/2,566.58 = 1,063.23/x
  3. Step 3: Cross multiply
    1,859.79x = 2,566.58 × 1,063.23
  4. Step 4: Simplify right side
    1,859.79x = 2,728,859.54
  5. Step 5: Solve for x
    x = 2,728,859.54/1,859.79
  6. Step 6: Final answer
    x = 1,467.29

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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.