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Finding the Fourth Proportional to 2,455.65, 3,388.74 and 1,378.90

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Solution

The fourth proportional to 2,455.65, 3,388.74 and 1,378.90 is: 1,902.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.65 : 3,388.74 = 1,378.90 : x
  2. Step 2: Convert to fraction form
    2,455.65/3,388.74 = 1,378.90/x
  3. Step 3: Cross multiply
    2,455.65x = 3,388.74 × 1,378.90
  4. Step 4: Simplify right side
    2,455.65x = 4,672,709.75
  5. Step 5: Solve for x
    x = 4,672,709.75/2,455.65
  6. Step 6: Final answer
    x = 1,902.84

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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.