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Finding the Fourth Proportional to 3,070.93, 4,238 and 1,744.60

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Solution

The fourth proportional to 3,070.93, 4,238 and 1,744.60 is: 2,407.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.93 : 4,238 = 1,744.60 : x
  2. Step 2: Convert to fraction form
    3,070.93/4,238 = 1,744.60/x
  3. Step 3: Cross multiply
    3,070.93x = 4,238 × 1,744.60
  4. Step 4: Simplify right side
    3,070.93x = 7,393,614.80
  5. Step 5: Solve for x
    x = 7,393,614.80/3,070.93
  6. Step 6: Final answer
    x = 2,407.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.