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Finding the Fourth Proportional to 2,193.21, 3,289.23 and 894.42

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Solution

The fourth proportional to 2,193.21, 3,289.23 and 894.42 is: 1,341.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.21 : 3,289.23 = 894.42 : x
  2. Step 2: Convert to fraction form
    2,193.21/3,289.23 = 894.42/x
  3. Step 3: Cross multiply
    2,193.21x = 3,289.23 × 894.42
  4. Step 4: Simplify right side
    2,193.21x = 2,941,953.10
  5. Step 5: Solve for x
    x = 2,941,953.10/2,193.21
  6. Step 6: Final answer
    x = 1,341.39

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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.