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Finding the Fourth Proportional to 2,112.49, 2,915.42 and 1,403.08

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Solution

The fourth proportional to 2,112.49, 2,915.42 and 1,403.08 is: 1,936.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.49 : 2,915.42 = 1,403.08 : x
  2. Step 2: Convert to fraction form
    2,112.49/2,915.42 = 1,403.08/x
  3. Step 3: Cross multiply
    2,112.49x = 2,915.42 × 1,403.08
  4. Step 4: Simplify right side
    2,112.49x = 4,090,567.49
  5. Step 5: Solve for x
    x = 4,090,567.49/2,112.49
  6. Step 6: Final answer
    x = 1,936.37

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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.