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Finding the Fourth Proportional to 1,646.82, 2,470.41 and 1,341.27

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Solution

The fourth proportional to 1,646.82, 2,470.41 and 1,341.27 is: 2,012.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.82 : 2,470.41 = 1,341.27 : x
  2. Step 2: Convert to fraction form
    1,646.82/2,470.41 = 1,341.27/x
  3. Step 3: Cross multiply
    1,646.82x = 2,470.41 × 1,341.27
  4. Step 4: Simplify right side
    1,646.82x = 3,313,486.82
  5. Step 5: Solve for x
    x = 3,313,486.82/1,646.82
  6. Step 6: Final answer
    x = 2,012.05

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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.