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Finding the Fourth Proportional to 2,975.40, 4,105.98 and 1,630.98

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Solution

The fourth proportional to 2,975.40, 4,105.98 and 1,630.98 is: 2,250.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.40 : 4,105.98 = 1,630.98 : x
  2. Step 2: Convert to fraction form
    2,975.40/4,105.98 = 1,630.98/x
  3. Step 3: Cross multiply
    2,975.40x = 4,105.98 × 1,630.98
  4. Step 4: Simplify right side
    2,975.40x = 6,696,771.26
  5. Step 5: Solve for x
    x = 6,696,771.26/2,975.40
  6. Step 6: Final answer
    x = 2,250.71

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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.