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Finding the Fourth Proportional to 2,323.81, 3,199.04 and 2,013.38

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Solution

The fourth proportional to 2,323.81, 3,199.04 and 2,013.38 is: 2,771.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.81 : 3,199.04 = 2,013.38 : x
  2. Step 2: Convert to fraction form
    2,323.81/3,199.04 = 2,013.38/x
  3. Step 3: Cross multiply
    2,323.81x = 3,199.04 × 2,013.38
  4. Step 4: Simplify right side
    2,323.81x = 6,440,873.09
  5. Step 5: Solve for x
    x = 6,440,873.09/2,323.81
  6. Step 6: Final answer
    x = 2,771.69

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1.5x scale

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.