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Finding the Fourth Proportional to 2,003.44, 3,004.56 and 962.86

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Solution

The fourth proportional to 2,003.44, 3,004.56 and 962.86 is: 1,444.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.44 : 3,004.56 = 962.86 : x
  2. Step 2: Convert to fraction form
    2,003.44/3,004.56 = 962.86/x
  3. Step 3: Cross multiply
    2,003.44x = 3,004.56 × 962.86
  4. Step 4: Simplify right side
    2,003.44x = 2,892,970.64
  5. Step 5: Solve for x
    x = 2,892,970.64/2,003.44
  6. Step 6: Final answer
    x = 1,444.00

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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.