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Finding the Fourth Proportional to 1,602.91, 2,402.71 and 1,163.07

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Solution

The fourth proportional to 1,602.91, 2,402.71 and 1,163.07 is: 1,743.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.91 : 2,402.71 = 1,163.07 : x
  2. Step 2: Convert to fraction form
    1,602.91/2,402.71 = 1,163.07/x
  3. Step 3: Cross multiply
    1,602.91x = 2,402.71 × 1,163.07
  4. Step 4: Simplify right side
    1,602.91x = 2,794,519.92
  5. Step 5: Solve for x
    x = 2,794,519.92/1,602.91
  6. Step 6: Final answer
    x = 1,743.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.