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Finding the Fourth Proportional to 2,007.37, 2,770 and 1,168.30

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Solution

The fourth proportional to 2,007.37, 2,770 and 1,168.30 is: 1,612.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.37 : 2,770 = 1,168.30 : x
  2. Step 2: Convert to fraction form
    2,007.37/2,770 = 1,168.30/x
  3. Step 3: Cross multiply
    2,007.37x = 2,770 × 1,168.30
  4. Step 4: Simplify right side
    2,007.37x = 3,236,191
  5. Step 5: Solve for x
    x = 3,236,191/2,007.37
  6. Step 6: Final answer
    x = 1,612.15

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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.