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Finding the Fourth Proportional to 1,387.89, 1,914.39 and 857.03

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Solution

The fourth proportional to 1,387.89, 1,914.39 and 857.03 is: 1,182.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.89 : 1,914.39 = 857.03 : x
  2. Step 2: Convert to fraction form
    1,387.89/1,914.39 = 857.03/x
  3. Step 3: Cross multiply
    1,387.89x = 1,914.39 × 857.03
  4. Step 4: Simplify right side
    1,387.89x = 1,640,680.09
  5. Step 5: Solve for x
    x = 1,640,680.09/1,387.89
  6. Step 6: Final answer
    x = 1,182.14

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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.