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Finding the Fourth Proportional to 2,000.66, 2,760.75 and 1,204.02

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Solution

The fourth proportional to 2,000.66, 2,760.75 and 1,204.02 is: 1,661.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.66 : 2,760.75 = 1,204.02 : x
  2. Step 2: Convert to fraction form
    2,000.66/2,760.75 = 1,204.02/x
  3. Step 3: Cross multiply
    2,000.66x = 2,760.75 × 1,204.02
  4. Step 4: Simplify right side
    2,000.66x = 3,323,998.22
  5. Step 5: Solve for x
    x = 3,323,998.22/2,000.66
  6. Step 6: Final answer
    x = 1,661.45

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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.