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Finding the Fourth Proportional to 2,984.41, 4,478.41 and 2,370.25

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Solution

The fourth proportional to 2,984.41, 4,478.41 and 2,370.25 is: 3,556.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.41 : 4,478.41 = 2,370.25 : x
  2. Step 2: Convert to fraction form
    2,984.41/4,478.41 = 2,370.25/x
  3. Step 3: Cross multiply
    2,984.41x = 4,478.41 × 2,370.25
  4. Step 4: Simplify right side
    2,984.41x = 10,614,928.91
  5. Step 5: Solve for x
    x = 10,614,928.91/2,984.41
  6. Step 6: Final answer
    x = 3,556.80

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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.