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Finding the Fourth Proportional to 2,764.99, 4,147.08 and 1,009.58

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Solution

The fourth proportional to 2,764.99, 4,147.08 and 1,009.58 is: 1,514.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.99 : 4,147.08 = 1,009.58 : x
  2. Step 2: Convert to fraction form
    2,764.99/4,147.08 = 1,009.58/x
  3. Step 3: Cross multiply
    2,764.99x = 4,147.08 × 1,009.58
  4. Step 4: Simplify right side
    2,764.99x = 4,186,809.03
  5. Step 5: Solve for x
    x = 4,186,809.03/2,764.99
  6. Step 6: Final answer
    x = 1,514.22

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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.