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Finding the Fourth Proportional to 2,468.93, 3,704 and 1,739.93

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Solution

The fourth proportional to 2,468.93, 3,704 and 1,739.93 is: 2,610.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.93 : 3,704 = 1,739.93 : x
  2. Step 2: Convert to fraction form
    2,468.93/3,704 = 1,739.93/x
  3. Step 3: Cross multiply
    2,468.93x = 3,704 × 1,739.93
  4. Step 4: Simplify right side
    2,468.93x = 6,444,700.72
  5. Step 5: Solve for x
    x = 6,444,700.72/2,468.93
  6. Step 6: Final answer
    x = 2,610.32

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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.