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Finding the Fourth Proportional to 2,477.87, 3,419.84 and 1,582

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Solution

The fourth proportional to 2,477.87, 3,419.84 and 1,582 is: 2,183.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.87 : 3,419.84 = 1,582 : x
  2. Step 2: Convert to fraction form
    2,477.87/3,419.84 = 1,582/x
  3. Step 3: Cross multiply
    2,477.87x = 3,419.84 × 1,582
  4. Step 4: Simplify right side
    2,477.87x = 5,410,186.88
  5. Step 5: Solve for x
    x = 5,410,186.88/2,477.87
  6. Step 6: Final answer
    x = 2,183.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.