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Finding the Fourth Proportional to 2,547, 3,514.86 and 1,443

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Solution

The fourth proportional to 2,547, 3,514.86 and 1,443 is: 1,991.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547 : 3,514.86 = 1,443 : x
  2. Step 2: Convert to fraction form
    2,547/3,514.86 = 1,443/x
  3. Step 3: Cross multiply
    2,547x = 3,514.86 × 1,443
  4. Step 4: Simplify right side
    2,547x = 5,071,942.98
  5. Step 5: Solve for x
    x = 5,071,942.98/2,547
  6. Step 6: Final answer
    x = 1,991.34

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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.