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Finding the Fourth Proportional to 1,675.91, 2,514.15 and 751.48

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Solution

The fourth proportional to 1,675.91, 2,514.15 and 751.48 is: 1,127.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675.91 : 2,514.15 = 751.48 : x
  2. Step 2: Convert to fraction form
    1,675.91/2,514.15 = 751.48/x
  3. Step 3: Cross multiply
    1,675.91x = 2,514.15 × 751.48
  4. Step 4: Simplify right side
    1,675.91x = 1,889,327.16
  5. Step 5: Solve for x
    x = 1,889,327.16/1,675.91
  6. Step 6: Final answer
    x = 1,127.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.