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Finding the Fourth Proportional to 2,585.80, 3,878.70 and 854.56

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Solution

The fourth proportional to 2,585.80, 3,878.70 and 854.56 is: 1,281.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.80 : 3,878.70 = 854.56 : x
  2. Step 2: Convert to fraction form
    2,585.80/3,878.70 = 854.56/x
  3. Step 3: Cross multiply
    2,585.80x = 3,878.70 × 854.56
  4. Step 4: Simplify right side
    2,585.80x = 3,314,581.87
  5. Step 5: Solve for x
    x = 3,314,581.87/2,585.80
  6. Step 6: Final answer
    x = 1,281.84

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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.