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Finding the Fourth Proportional to 2,795.79, 4,194.21 and 946.41

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Solution

The fourth proportional to 2,795.79, 4,194.21 and 946.41 is: 1,419.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,795.79 : 4,194.21 = 946.41 : x
  2. Step 2: Convert to fraction form
    2,795.79/4,194.21 = 946.41/x
  3. Step 3: Cross multiply
    2,795.79x = 4,194.21 × 946.41
  4. Step 4: Simplify right side
    2,795.79x = 3,969,430.11
  5. Step 5: Solve for x
    x = 3,969,430.11/2,795.79
  6. Step 6: Final answer
    x = 1,419.79

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1.5x scale

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.