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Finding the Fourth Proportional to 2,580.57, 3,870.86 and 1,433.61

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Solution

The fourth proportional to 2,580.57, 3,870.86 and 1,433.61 is: 2,150.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.57 : 3,870.86 = 1,433.61 : x
  2. Step 2: Convert to fraction form
    2,580.57/3,870.86 = 1,433.61/x
  3. Step 3: Cross multiply
    2,580.57x = 3,870.86 × 1,433.61
  4. Step 4: Simplify right side
    2,580.57x = 5,549,296.44
  5. Step 5: Solve for x
    x = 5,549,296.44/2,580.57
  6. Step 6: Final answer
    x = 2,150.42

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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.