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Finding the Fourth Proportional to 2,002.13, 2,991.03 and 1,674.08

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Solution

The fourth proportional to 2,002.13, 2,991.03 and 1,674.08 is: 2,500.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.13 : 2,991.03 = 1,674.08 : x
  2. Step 2: Convert to fraction form
    2,002.13/2,991.03 = 1,674.08/x
  3. Step 3: Cross multiply
    2,002.13x = 2,991.03 × 1,674.08
  4. Step 4: Simplify right side
    2,002.13x = 5,007,208.55
  5. Step 5: Solve for x
    x = 5,007,208.55/2,002.13
  6. Step 6: Final answer
    x = 2,500.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.