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Finding the Fourth Proportional to 2,488.96, 3,735.09 and 1,378.84

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Solution

The fourth proportional to 2,488.96, 3,735.09 and 1,378.84 is: 2,069.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,488.96 : 3,735.09 = 1,378.84 : x
  2. Step 2: Convert to fraction form
    2,488.96/3,735.09 = 1,378.84/x
  3. Step 3: Cross multiply
    2,488.96x = 3,735.09 × 1,378.84
  4. Step 4: Simplify right side
    2,488.96x = 5,150,091.50
  5. Step 5: Solve for x
    x = 5,150,091.50/2,488.96
  6. Step 6: Final answer
    x = 2,069.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.