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Finding the Fourth Proportional to 3,188.76, 4,399.98 and 1,929.60

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Solution

The fourth proportional to 3,188.76, 4,399.98 and 1,929.60 is: 2,662.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.76 : 4,399.98 = 1,929.60 : x
  2. Step 2: Convert to fraction form
    3,188.76/4,399.98 = 1,929.60/x
  3. Step 3: Cross multiply
    3,188.76x = 4,399.98 × 1,929.60
  4. Step 4: Simplify right side
    3,188.76x = 8,490,201.41
  5. Step 5: Solve for x
    x = 8,490,201.41/3,188.76
  6. Step 6: Final answer
    x = 2,662.54

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1.5x scale

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.