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Finding the Fourth Proportional to 2,155.03, 3,232.59 and 923.02

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Solution

The fourth proportional to 2,155.03, 3,232.59 and 923.02 is: 1,384.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.03 : 3,232.59 = 923.02 : x
  2. Step 2: Convert to fraction form
    2,155.03/3,232.59 = 923.02/x
  3. Step 3: Cross multiply
    2,155.03x = 3,232.59 × 923.02
  4. Step 4: Simplify right side
    2,155.03x = 2,983,745.22
  5. Step 5: Solve for x
    x = 2,983,745.22/2,155.03
  6. Step 6: Final answer
    x = 1,384.55

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Similar ratio
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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.