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Finding the Fourth Proportional to 3,207, 4,807.80 and 1,260.60

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Solution

The fourth proportional to 3,207, 4,807.80 and 1,260.60 is: 1,889.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207 : 4,807.80 = 1,260.60 : x
  2. Step 2: Convert to fraction form
    3,207/4,807.80 = 1,260.60/x
  3. Step 3: Cross multiply
    3,207x = 4,807.80 × 1,260.60
  4. Step 4: Simplify right side
    3,207x = 6,060,712.68
  5. Step 5: Solve for x
    x = 6,060,712.68/3,207
  6. Step 6: Final answer
    x = 1,889.84

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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.