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Finding the Fourth Proportional to 1,849.23, 2,552.00 and 1,063.31

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Solution

The fourth proportional to 1,849.23, 2,552.00 and 1,063.31 is: 1,467.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849.23 : 2,552.00 = 1,063.31 : x
  2. Step 2: Convert to fraction form
    1,849.23/2,552.00 = 1,063.31/x
  3. Step 3: Cross multiply
    1,849.23x = 2,552.00 × 1,063.31
  4. Step 4: Simplify right side
    1,849.23x = 2,713,549.04
  5. Step 5: Solve for x
    x = 2,713,549.04/1,849.23
  6. Step 6: Final answer
    x = 1,467.39

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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.