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Finding the Fourth Proportional to 2,548.88, 3,823.34 and 1,009.88

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Solution

The fourth proportional to 2,548.88, 3,823.34 and 1,009.88 is: 1,514.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.88 : 3,823.34 = 1,009.88 : x
  2. Step 2: Convert to fraction form
    2,548.88/3,823.34 = 1,009.88/x
  3. Step 3: Cross multiply
    2,548.88x = 3,823.34 × 1,009.88
  4. Step 4: Simplify right side
    2,548.88x = 3,861,090.43
  5. Step 5: Solve for x
    x = 3,861,090.43/2,548.88
  6. Step 6: Final answer
    x = 1,514.82

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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.