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Finding the Fourth Proportional to 2,069.51, 2,854.78 and 1,361.47

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Solution

The fourth proportional to 2,069.51, 2,854.78 and 1,361.47 is: 1,878.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.51 : 2,854.78 = 1,361.47 : x
  2. Step 2: Convert to fraction form
    2,069.51/2,854.78 = 1,361.47/x
  3. Step 3: Cross multiply
    2,069.51x = 2,854.78 × 1,361.47
  4. Step 4: Simplify right side
    2,069.51x = 3,886,690.52
  5. Step 5: Solve for x
    x = 3,886,690.52/2,069.51
  6. Step 6: Final answer
    x = 1,878.07

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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.