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Finding the Fourth Proportional to 2,880.70, 4,321.16 and 1,647.55

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Solution

The fourth proportional to 2,880.70, 4,321.16 and 1,647.55 is: 2,471.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,880.70 : 4,321.16 = 1,647.55 : x
  2. Step 2: Convert to fraction form
    2,880.70/4,321.16 = 1,647.55/x
  3. Step 3: Cross multiply
    2,880.70x = 4,321.16 × 1,647.55
  4. Step 4: Simplify right side
    2,880.70x = 7,119,301.56
  5. Step 5: Solve for x
    x = 7,119,301.56/2,880.70
  6. Step 6: Final answer
    x = 2,471.38

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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.