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Finding the Fourth Proportional to 2,586.04, 3,878.18 and 854.24

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Solution

The fourth proportional to 2,586.04, 3,878.18 and 854.24 is: 1,281.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.04 : 3,878.18 = 854.24 : x
  2. Step 2: Convert to fraction form
    2,586.04/3,878.18 = 854.24/x
  3. Step 3: Cross multiply
    2,586.04x = 3,878.18 × 854.24
  4. Step 4: Simplify right side
    2,586.04x = 3,312,896.48
  5. Step 5: Solve for x
    x = 3,312,896.48/2,586.04
  6. Step 6: Final answer
    x = 1,281.07

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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.