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Finding the Fourth Proportional to 2,155.97, 3,235.05 and 923.05

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Solution

The fourth proportional to 2,155.97, 3,235.05 and 923.05 is: 1,385.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.97 : 3,235.05 = 923.05 : x
  2. Step 2: Convert to fraction form
    2,155.97/3,235.05 = 923.05/x
  3. Step 3: Cross multiply
    2,155.97x = 3,235.05 × 923.05
  4. Step 4: Simplify right side
    2,155.97x = 2,986,104.81
  5. Step 5: Solve for x
    x = 2,986,104.81/2,155.97
  6. Step 6: Final answer
    x = 1,385.04

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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.