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Finding the Fourth Proportional to 3,419.84, 4,719.82 and 1,928.22

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Solution

The fourth proportional to 3,419.84, 4,719.82 and 1,928.22 is: 2,661.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.84 : 4,719.82 = 1,928.22 : x
  2. Step 2: Convert to fraction form
    3,419.84/4,719.82 = 1,928.22/x
  3. Step 3: Cross multiply
    3,419.84x = 4,719.82 × 1,928.22
  4. Step 4: Simplify right side
    3,419.84x = 9,100,858.96
  5. Step 5: Solve for x
    x = 9,100,858.96/3,419.84
  6. Step 6: Final answer
    x = 2,661.20

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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.