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Finding the Fourth Proportional to 1,446, 1,995.75 and 1,097.16

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Solution

The fourth proportional to 1,446, 1,995.75 and 1,097.16 is: 1,514.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446 : 1,995.75 = 1,097.16 : x
  2. Step 2: Convert to fraction form
    1,446/1,995.75 = 1,097.16/x
  3. Step 3: Cross multiply
    1,446x = 1,995.75 × 1,097.16
  4. Step 4: Simplify right side
    1,446x = 2,189,657.07
  5. Step 5: Solve for x
    x = 2,189,657.07/1,446
  6. Step 6: Final answer
    x = 1,514.29

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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.