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Finding the Fourth Proportional to 2,703.93, 3,731.13 and 1,996.15

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Solution

The fourth proportional to 2,703.93, 3,731.13 and 1,996.15 is: 2,754.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.93 : 3,731.13 = 1,996.15 : x
  2. Step 2: Convert to fraction form
    2,703.93/3,731.13 = 1,996.15/x
  3. Step 3: Cross multiply
    2,703.93x = 3,731.13 × 1,996.15
  4. Step 4: Simplify right side
    2,703.93x = 7,447,895.15
  5. Step 5: Solve for x
    x = 7,447,895.15/2,703.93
  6. Step 6: Final answer
    x = 2,754.47

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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.