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Finding the Fourth Proportional to 1,341.71, 2,001.41 and 1,319.43

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Solution

The fourth proportional to 1,341.71, 2,001.41 and 1,319.43 is: 1,968.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.71 : 2,001.41 = 1,319.43 : x
  2. Step 2: Convert to fraction form
    1,341.71/2,001.41 = 1,319.43/x
  3. Step 3: Cross multiply
    1,341.71x = 2,001.41 × 1,319.43
  4. Step 4: Simplify right side
    1,341.71x = 2,640,723.69
  5. Step 5: Solve for x
    x = 2,640,723.69/1,341.71
  6. Step 6: Final answer
    x = 1,968.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.