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Finding the Fourth Proportional to 2,005.03, 2,767.40 and 1,305.19

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Solution

The fourth proportional to 2,005.03, 2,767.40 and 1,305.19 is: 1,801.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.03 : 2,767.40 = 1,305.19 : x
  2. Step 2: Convert to fraction form
    2,005.03/2,767.40 = 1,305.19/x
  3. Step 3: Cross multiply
    2,005.03x = 2,767.40 × 1,305.19
  4. Step 4: Simplify right side
    2,005.03x = 3,611,982.81
  5. Step 5: Solve for x
    x = 3,611,982.81/2,005.03
  6. Step 6: Final answer
    x = 1,801.46

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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.