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Finding the Fourth Proportional to 2,001.76, 3,004.08 and 1,135.84

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Solution

The fourth proportional to 2,001.76, 3,004.08 and 1,135.84 is: 1,704.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.76 : 3,004.08 = 1,135.84 : x
  2. Step 2: Convert to fraction form
    2,001.76/3,004.08 = 1,135.84/x
  3. Step 3: Cross multiply
    2,001.76x = 3,004.08 × 1,135.84
  4. Step 4: Simplify right side
    2,001.76x = 3,412,154.23
  5. Step 5: Solve for x
    x = 3,412,154.23/2,001.76
  6. Step 6: Final answer
    x = 1,704.58

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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.