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Finding the Fourth Proportional to 2,993.43, 4,130.41 and 1,874.01

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Solution

The fourth proportional to 2,993.43, 4,130.41 and 1,874.01 is: 2,585.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.43 : 4,130.41 = 1,874.01 : x
  2. Step 2: Convert to fraction form
    2,993.43/4,130.41 = 1,874.01/x
  3. Step 3: Cross multiply
    2,993.43x = 4,130.41 × 1,874.01
  4. Step 4: Simplify right side
    2,993.43x = 7,740,429.64
  5. Step 5: Solve for x
    x = 7,740,429.64/2,993.43
  6. Step 6: Final answer
    x = 2,585.81

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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.