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Finding the Fourth Proportional to 2,523.88, 3,780.78 and 2,004.76

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Solution

The fourth proportional to 2,523.88, 3,780.78 and 2,004.76 is: 3,003.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.88 : 3,780.78 = 2,004.76 : x
  2. Step 2: Convert to fraction form
    2,523.88/3,780.78 = 2,004.76/x
  3. Step 3: Cross multiply
    2,523.88x = 3,780.78 × 2,004.76
  4. Step 4: Simplify right side
    2,523.88x = 7,579,556.51
  5. Step 5: Solve for x
    x = 7,579,556.51/2,523.88
  6. Step 6: Final answer
    x = 3,003.14

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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.