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Finding the Fourth Proportional to 2,180.40, 3,155.10 and 2,180.40

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Solution

The fourth proportional to 2,180.40, 3,155.10 and 2,180.40 is: 3,155.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.40 : 3,155.10 = 2,180.40 : x
  2. Step 2: Convert to fraction form
    2,180.40/3,155.10 = 2,180.40/x
  3. Step 3: Cross multiply
    2,180.40x = 3,155.10 × 2,180.40
  4. Step 4: Simplify right side
    2,180.40x = 6,879,380.04
  5. Step 5: Solve for x
    x = 6,879,380.04/2,180.40
  6. Step 6: Final answer
    x = 3,155.10

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.