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Finding the Fourth Proportional to 2,646.38, 3,966.77 and 889.71

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Solution

The fourth proportional to 2,646.38, 3,966.77 and 889.71 is: 1,333.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.38 : 3,966.77 = 889.71 : x
  2. Step 2: Convert to fraction form
    2,646.38/3,966.77 = 889.71/x
  3. Step 3: Cross multiply
    2,646.38x = 3,966.77 × 889.71
  4. Step 4: Simplify right side
    2,646.38x = 3,529,274.94
  5. Step 5: Solve for x
    x = 3,529,274.94/2,646.38
  6. Step 6: Final answer
    x = 1,333.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.