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Finding the Fourth Proportional to 1,914.21, 2,642.10 and 1,128.51

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Solution

The fourth proportional to 1,914.21, 2,642.10 and 1,128.51 is: 1,557.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914.21 : 2,642.10 = 1,128.51 : x
  2. Step 2: Convert to fraction form
    1,914.21/2,642.10 = 1,128.51/x
  3. Step 3: Cross multiply
    1,914.21x = 2,642.10 × 1,128.51
  4. Step 4: Simplify right side
    1,914.21x = 2,981,636.27
  5. Step 5: Solve for x
    x = 2,981,636.27/1,914.21
  6. Step 6: Final answer
    x = 1,557.63

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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.