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Finding the Fourth Proportional to 2,007.80, 2,770.55 and 1,168.54

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Solution

The fourth proportional to 2,007.80, 2,770.55 and 1,168.54 is: 1,612.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.80 : 2,770.55 = 1,168.54 : x
  2. Step 2: Convert to fraction form
    2,007.80/2,770.55 = 1,168.54/x
  3. Step 3: Cross multiply
    2,007.80x = 2,770.55 × 1,168.54
  4. Step 4: Simplify right side
    2,007.80x = 3,237,490.11
  5. Step 5: Solve for x
    x = 3,237,490.11/2,007.80
  6. Step 6: Final answer
    x = 1,612.46

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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.