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Finding the Fourth Proportional to 2,586.40, 3,879.60 and 1,290.40

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Solution

The fourth proportional to 2,586.40, 3,879.60 and 1,290.40 is: 1,935.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.40 : 3,879.60 = 1,290.40 : x
  2. Step 2: Convert to fraction form
    2,586.40/3,879.60 = 1,290.40/x
  3. Step 3: Cross multiply
    2,586.40x = 3,879.60 × 1,290.40
  4. Step 4: Simplify right side
    2,586.40x = 5,006,235.84
  5. Step 5: Solve for x
    x = 5,006,235.84/2,586.40
  6. Step 6: Final answer
    x = 1,935.60

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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.