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Finding the Fourth Proportional to 2,105.40, 2,941.80 and 2,105.40

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Solution

The fourth proportional to 2,105.40, 2,941.80 and 2,105.40 is: 2,941.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.40 : 2,941.80 = 2,105.40 : x
  2. Step 2: Convert to fraction form
    2,105.40/2,941.80 = 2,105.40/x
  3. Step 3: Cross multiply
    2,105.40x = 2,941.80 × 2,105.40
  4. Step 4: Simplify right side
    2,105.40x = 6,193,665.72
  5. Step 5: Solve for x
    x = 6,193,665.72/2,105.40
  6. Step 6: Final answer
    x = 2,941.80

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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.