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Finding the Fourth Proportional to 2,069.80, 2,854.99 and 1,361.68

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Solution

The fourth proportional to 2,069.80, 2,854.99 and 1,361.68 is: 1,878.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.80 : 2,854.99 = 1,361.68 : x
  2. Step 2: Convert to fraction form
    2,069.80/2,854.99 = 1,361.68/x
  3. Step 3: Cross multiply
    2,069.80x = 2,854.99 × 1,361.68
  4. Step 4: Simplify right side
    2,069.80x = 3,887,582.78
  5. Step 5: Solve for x
    x = 3,887,582.78/2,069.80
  6. Step 6: Final answer
    x = 1,878.24

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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.