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Finding the Fourth Proportional to 3,369.06, 4,646.16 and 2,189.70

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Solution

The fourth proportional to 3,369.06, 4,646.16 and 2,189.70 is: 3,019.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,369.06 : 4,646.16 = 2,189.70 : x
  2. Step 2: Convert to fraction form
    3,369.06/4,646.16 = 2,189.70/x
  3. Step 3: Cross multiply
    3,369.06x = 4,646.16 × 2,189.70
  4. Step 4: Simplify right side
    3,369.06x = 10,173,696.55
  5. Step 5: Solve for x
    x = 10,173,696.55/3,369.06
  6. Step 6: Final answer
    x = 3,019.74

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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.