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Finding the Fourth Proportional to 2,004.02, 2,764.90 and 1,164.53

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Solution

The fourth proportional to 2,004.02, 2,764.90 and 1,164.53 is: 1,606.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.02 : 2,764.90 = 1,164.53 : x
  2. Step 2: Convert to fraction form
    2,004.02/2,764.90 = 1,164.53/x
  3. Step 3: Cross multiply
    2,004.02x = 2,764.90 × 1,164.53
  4. Step 4: Simplify right side
    2,004.02x = 3,219,809.00
  5. Step 5: Solve for x
    x = 3,219,809.00/2,004.02
  6. Step 6: Final answer
    x = 1,606.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.