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Finding the Fourth Proportional to 2,003.19, 2,761.11 and 1,560.33

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Solution

The fourth proportional to 2,003.19, 2,761.11 and 1,560.33 is: 2,150.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.19 : 2,761.11 = 1,560.33 : x
  2. Step 2: Convert to fraction form
    2,003.19/2,761.11 = 1,560.33/x
  3. Step 3: Cross multiply
    2,003.19x = 2,761.11 × 1,560.33
  4. Step 4: Simplify right side
    2,003.19x = 4,308,242.77
  5. Step 5: Solve for x
    x = 4,308,242.77/2,003.19
  6. Step 6: Final answer
    x = 2,150.69

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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.