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Finding the Fourth Proportional to 2,703.58, 4,055.37 and 1,163.50

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Solution

The fourth proportional to 2,703.58, 4,055.37 and 1,163.50 is: 1,745.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.58 : 4,055.37 = 1,163.50 : x
  2. Step 2: Convert to fraction form
    2,703.58/4,055.37 = 1,163.50/x
  3. Step 3: Cross multiply
    2,703.58x = 4,055.37 × 1,163.50
  4. Step 4: Simplify right side
    2,703.58x = 4,718,423.00
  5. Step 5: Solve for x
    x = 4,718,423.00/2,703.58
  6. Step 6: Final answer
    x = 1,745.25

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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.