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Finding the Fourth Proportional to 2,023.10, 2,838.10 and 2,023.10

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Solution

The fourth proportional to 2,023.10, 2,838.10 and 2,023.10 is: 2,838.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.10 : 2,838.10 = 2,023.10 : x
  2. Step 2: Convert to fraction form
    2,023.10/2,838.10 = 2,023.10/x
  3. Step 3: Cross multiply
    2,023.10x = 2,838.10 × 2,023.10
  4. Step 4: Simplify right side
    2,023.10x = 5,741,760.11
  5. Step 5: Solve for x
    x = 5,741,760.11/2,023.10
  6. Step 6: Final answer
    x = 2,838.10

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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.