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Finding the Fourth Proportional to 3,133.60, 4,321.40 and 2,390

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Solution

The fourth proportional to 3,133.60, 4,321.40 and 2,390 is: 3,295.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.60 : 4,321.40 = 2,390 : x
  2. Step 2: Convert to fraction form
    3,133.60/4,321.40 = 2,390/x
  3. Step 3: Cross multiply
    3,133.60x = 4,321.40 × 2,390
  4. Step 4: Simplify right side
    3,133.60x = 10,328,146
  5. Step 5: Solve for x
    x = 10,328,146/3,133.60
  6. Step 6: Final answer
    x = 3,295.94

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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.