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Finding the Fourth Proportional to 3,381.63, 4,666.70 and 1,965.43

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Solution

The fourth proportional to 3,381.63, 4,666.70 and 1,965.43 is: 2,712.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,381.63 : 4,666.70 = 1,965.43 : x
  2. Step 2: Convert to fraction form
    3,381.63/4,666.70 = 1,965.43/x
  3. Step 3: Cross multiply
    3,381.63x = 4,666.70 × 1,965.43
  4. Step 4: Simplify right side
    3,381.63x = 9,172,071.87
  5. Step 5: Solve for x
    x = 9,172,071.87/3,381.63
  6. Step 6: Final answer
    x = 2,712.32

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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.