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Finding the Fourth Proportional to 2,764.88, 4,145.88 and 1,009.82

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Solution

The fourth proportional to 2,764.88, 4,145.88 and 1,009.82 is: 1,514.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.88 : 4,145.88 = 1,009.82 : x
  2. Step 2: Convert to fraction form
    2,764.88/4,145.88 = 1,009.82/x
  3. Step 3: Cross multiply
    2,764.88x = 4,145.88 × 1,009.82
  4. Step 4: Simplify right side
    2,764.88x = 4,186,583.37
  5. Step 5: Solve for x
    x = 4,186,583.37/2,764.88
  6. Step 6: Final answer
    x = 1,514.20

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