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Finding the Fourth Proportional to 3,396.88, 4,688.22 and 1,905.40

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Solution

The fourth proportional to 3,396.88, 4,688.22 and 1,905.40 is: 2,629.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,396.88 : 4,688.22 = 1,905.40 : x
  2. Step 2: Convert to fraction form
    3,396.88/4,688.22 = 1,905.40/x
  3. Step 3: Cross multiply
    3,396.88x = 4,688.22 × 1,905.40
  4. Step 4: Simplify right side
    3,396.88x = 8,932,934.39
  5. Step 5: Solve for x
    x = 8,932,934.39/3,396.88
  6. Step 6: Final answer
    x = 2,629.75

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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.