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Finding the Fourth Proportional to 2,035.09, 3,054.53 and 803.35

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Solution

The fourth proportional to 2,035.09, 3,054.53 and 803.35 is: 1,205.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.09 : 3,054.53 = 803.35 : x
  2. Step 2: Convert to fraction form
    2,035.09/3,054.53 = 803.35/x
  3. Step 3: Cross multiply
    2,035.09x = 3,054.53 × 803.35
  4. Step 4: Simplify right side
    2,035.09x = 2,453,852.66
  5. Step 5: Solve for x
    x = 2,453,852.66/2,035.09
  6. Step 6: Final answer
    x = 1,205.77

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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.