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Finding the Fourth Proportional to 2,999.64, 4,138.92 and 1,740.33

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Solution

The fourth proportional to 2,999.64, 4,138.92 and 1,740.33 is: 2,401.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,999.64 : 4,138.92 = 1,740.33 : x
  2. Step 2: Convert to fraction form
    2,999.64/4,138.92 = 1,740.33/x
  3. Step 3: Cross multiply
    2,999.64x = 4,138.92 × 1,740.33
  4. Step 4: Simplify right side
    2,999.64x = 7,203,086.64
  5. Step 5: Solve for x
    x = 7,203,086.64/2,999.64
  6. Step 6: Final answer
    x = 2,401.32

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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.