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Finding the Fourth Proportional to 2,703.46, 4,055.19 and 755.68

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Solution

The fourth proportional to 2,703.46, 4,055.19 and 755.68 is: 1,133.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.46 : 4,055.19 = 755.68 : x
  2. Step 2: Convert to fraction form
    2,703.46/4,055.19 = 755.68/x
  3. Step 3: Cross multiply
    2,703.46x = 4,055.19 × 755.68
  4. Step 4: Simplify right side
    2,703.46x = 3,064,405.70
  5. Step 5: Solve for x
    x = 3,064,405.70/2,703.46
  6. Step 6: Final answer
    x = 1,133.51

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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.