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Finding the Fourth Proportional to 2,703.41, 4,054.66 and 755.16

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Solution

The fourth proportional to 2,703.41, 4,054.66 and 755.16 is: 1,132.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.41 : 4,054.66 = 755.16 : x
  2. Step 2: Convert to fraction form
    2,703.41/4,054.66 = 755.16/x
  3. Step 3: Cross multiply
    2,703.41x = 4,054.66 × 755.16
  4. Step 4: Simplify right side
    2,703.41x = 3,061,899.95
  5. Step 5: Solve for x
    x = 3,061,899.95/2,703.41
  6. Step 6: Final answer
    x = 1,132.61

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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.