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Finding the Fourth Proportional to 2,698.50, 4,048 and 1,237.44

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Solution

The fourth proportional to 2,698.50, 4,048 and 1,237.44 is: 1,856.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.50 : 4,048 = 1,237.44 : x
  2. Step 2: Convert to fraction form
    2,698.50/4,048 = 1,237.44/x
  3. Step 3: Cross multiply
    2,698.50x = 4,048 × 1,237.44
  4. Step 4: Simplify right side
    2,698.50x = 5,009,157.12
  5. Step 5: Solve for x
    x = 5,009,157.12/2,698.50
  6. Step 6: Final answer
    x = 1,856.27

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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.