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Finding the Fourth Proportional to 2,155.70, 3,022.30 and 2,155.70

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Solution

The fourth proportional to 2,155.70, 3,022.30 and 2,155.70 is: 3,022.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.70 : 3,022.30 = 2,155.70 : x
  2. Step 2: Convert to fraction form
    2,155.70/3,022.30 = 2,155.70/x
  3. Step 3: Cross multiply
    2,155.70x = 3,022.30 × 2,155.70
  4. Step 4: Simplify right side
    2,155.70x = 6,515,172.11
  5. Step 5: Solve for x
    x = 6,515,172.11/2,155.70
  6. Step 6: Final answer
    x = 3,022.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.