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Finding the Fourth Proportional to 1,975.04, 2,724 and 1,842.56

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Solution

The fourth proportional to 1,975.04, 2,724 and 1,842.56 is: 2,541.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.04 : 2,724 = 1,842.56 : x
  2. Step 2: Convert to fraction form
    1,975.04/2,724 = 1,842.56/x
  3. Step 3: Cross multiply
    1,975.04x = 2,724 × 1,842.56
  4. Step 4: Simplify right side
    1,975.04x = 5,019,133.44
  5. Step 5: Solve for x
    x = 5,019,133.44/1,975.04
  6. Step 6: Final answer
    x = 2,541.28

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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.