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Finding the Fourth Proportional to 2,000.22, 2,760.64 and 1,477.76

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Solution

The fourth proportional to 2,000.22, 2,760.64 and 1,477.76 is: 2,039.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.22 : 2,760.64 = 1,477.76 : x
  2. Step 2: Convert to fraction form
    2,000.22/2,760.64 = 1,477.76/x
  3. Step 3: Cross multiply
    2,000.22x = 2,760.64 × 1,477.76
  4. Step 4: Simplify right side
    2,000.22x = 4,079,563.37
  5. Step 5: Solve for x
    x = 4,079,563.37/2,000.22
  6. Step 6: Final answer
    x = 2,039.56

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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.