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Finding the Fourth Proportional to 3,203.60, 4,800.53 and 2,378

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Solution

The fourth proportional to 3,203.60, 4,800.53 and 2,378 is: 3,563.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.60 : 4,800.53 = 2,378 : x
  2. Step 2: Convert to fraction form
    3,203.60/4,800.53 = 2,378/x
  3. Step 3: Cross multiply
    3,203.60x = 4,800.53 × 2,378
  4. Step 4: Simplify right side
    3,203.60x = 11,415,660.34
  5. Step 5: Solve for x
    x = 11,415,660.34/3,203.60
  6. Step 6: Final answer
    x = 3,563.39

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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.