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Finding the Fourth Proportional to 2,013, 2,776.99 and 1,423.86

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Solution

The fourth proportional to 2,013, 2,776.99 and 1,423.86 is: 1,964.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013 : 2,776.99 = 1,423.86 : x
  2. Step 2: Convert to fraction form
    2,013/2,776.99 = 1,423.86/x
  3. Step 3: Cross multiply
    2,013x = 2,776.99 × 1,423.86
  4. Step 4: Simplify right side
    2,013x = 3,954,044.98
  5. Step 5: Solve for x
    x = 3,954,044.98/2,013
  6. Step 6: Final answer
    x = 1,964.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.