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Finding the Fourth Proportional to 2,965.63, 4,092.79 and 1,770.67

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Solution

The fourth proportional to 2,965.63, 4,092.79 and 1,770.67 is: 2,443.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.63 : 4,092.79 = 1,770.67 : x
  2. Step 2: Convert to fraction form
    2,965.63/4,092.79 = 1,770.67/x
  3. Step 3: Cross multiply
    2,965.63x = 4,092.79 × 1,770.67
  4. Step 4: Simplify right side
    2,965.63x = 7,246,980.47
  5. Step 5: Solve for x
    x = 7,246,980.47/2,965.63
  6. Step 6: Final answer
    x = 2,443.66

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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.