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Finding the Fourth Proportional to 2,000.93, 2,760.53 and 1,161.50

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Solution

The fourth proportional to 2,000.93, 2,760.53 and 1,161.50 is: 1,602.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.93 : 2,760.53 = 1,161.50 : x
  2. Step 2: Convert to fraction form
    2,000.93/2,760.53 = 1,161.50/x
  3. Step 3: Cross multiply
    2,000.93x = 2,760.53 × 1,161.50
  4. Step 4: Simplify right side
    2,000.93x = 3,206,335.98
  5. Step 5: Solve for x
    x = 3,206,335.98/2,000.93
  6. Step 6: Final answer
    x = 1,602.43

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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.