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Finding the Fourth Proportional to 2,003.36, 2,989.73 and 1,784.66

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Solution

The fourth proportional to 2,003.36, 2,989.73 and 1,784.66 is: 2,663.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.36 : 2,989.73 = 1,784.66 : x
  2. Step 2: Convert to fraction form
    2,003.36/2,989.73 = 1,784.66/x
  3. Step 3: Cross multiply
    2,003.36x = 2,989.73 × 1,784.66
  4. Step 4: Simplify right side
    2,003.36x = 5,335,641.05
  5. Step 5: Solve for x
    x = 5,335,641.05/2,003.36
  6. Step 6: Final answer
    x = 2,663.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.