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Finding the Fourth Proportional to 3,146.88, 4,346.16 and 2,150.40

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Solution

The fourth proportional to 3,146.88, 4,346.16 and 2,150.40 is: 2,969.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.88 : 4,346.16 = 2,150.40 : x
  2. Step 2: Convert to fraction form
    3,146.88/4,346.16 = 2,150.40/x
  3. Step 3: Cross multiply
    3,146.88x = 4,346.16 × 2,150.40
  4. Step 4: Simplify right side
    3,146.88x = 9,345,982.46
  5. Step 5: Solve for x
    x = 9,345,982.46/3,146.88
  6. Step 6: Final answer
    x = 2,969.92

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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.