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Finding the Fourth Proportional to 3,130.67, 4,696.11 and 1,486.37

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Solution

The fourth proportional to 3,130.67, 4,696.11 and 1,486.37 is: 2,229.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.67 : 4,696.11 = 1,486.37 : x
  2. Step 2: Convert to fraction form
    3,130.67/4,696.11 = 1,486.37/x
  3. Step 3: Cross multiply
    3,130.67x = 4,696.11 × 1,486.37
  4. Step 4: Simplify right side
    3,130.67x = 6,980,168.76
  5. Step 5: Solve for x
    x = 6,980,168.76/3,130.67
  6. Step 6: Final answer
    x = 2,229.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.