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Finding the Fourth Proportional to 2,965.96, 4,092.96 and 1,786.60

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Solution

The fourth proportional to 2,965.96, 4,092.96 and 1,786.60 is: 2,465.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.96 : 4,092.96 = 1,786.60 : x
  2. Step 2: Convert to fraction form
    2,965.96/4,092.96 = 1,786.60/x
  3. Step 3: Cross multiply
    2,965.96x = 4,092.96 × 1,786.60
  4. Step 4: Simplify right side
    2,965.96x = 7,312,482.34
  5. Step 5: Solve for x
    x = 7,312,482.34/2,965.96
  6. Step 6: Final answer
    x = 2,465.47

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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.