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Finding the Fourth Proportional to 2,020.84, 2,785.80 and 1,577.80

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Solution

The fourth proportional to 2,020.84, 2,785.80 and 1,577.80 is: 2,175.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.84 : 2,785.80 = 1,577.80 : x
  2. Step 2: Convert to fraction form
    2,020.84/2,785.80 = 1,577.80/x
  3. Step 3: Cross multiply
    2,020.84x = 2,785.80 × 1,577.80
  4. Step 4: Simplify right side
    2,020.84x = 4,395,435.24
  5. Step 5: Solve for x
    x = 4,395,435.24/2,020.84
  6. Step 6: Final answer
    x = 2,175.05

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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.