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Finding the Fourth Proportional to 3,407.97, 4,703.00 and 1,992.63

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Solution

The fourth proportional to 3,407.97, 4,703.00 and 1,992.63 is: 2,749.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.97 : 4,703.00 = 1,992.63 : x
  2. Step 2: Convert to fraction form
    3,407.97/4,703.00 = 1,992.63/x
  3. Step 3: Cross multiply
    3,407.97x = 4,703.00 × 1,992.63
  4. Step 4: Simplify right side
    3,407.97x = 9,371,328.93
  5. Step 5: Solve for x
    x = 9,371,328.93/3,407.97
  6. Step 6: Final answer
    x = 2,749.83

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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.