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Finding the Fourth Proportional to 2,003.19, 2,764.39 and 1,106.99

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Solution

The fourth proportional to 2,003.19, 2,764.39 and 1,106.99 is: 1,527.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.19 : 2,764.39 = 1,106.99 : x
  2. Step 2: Convert to fraction form
    2,003.19/2,764.39 = 1,106.99/x
  3. Step 3: Cross multiply
    2,003.19x = 2,764.39 × 1,106.99
  4. Step 4: Simplify right side
    2,003.19x = 3,060,152.09
  5. Step 5: Solve for x
    x = 3,060,152.09/2,003.19
  6. Step 6: Final answer
    x = 1,527.64

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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.