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Finding the Fourth Proportional to 2,842.04, 3,918.48 and 1,832.04

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Solution

The fourth proportional to 2,842.04, 3,918.48 and 1,832.04 is: 2,525.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.04 : 3,918.48 = 1,832.04 : x
  2. Step 2: Convert to fraction form
    2,842.04/3,918.48 = 1,832.04/x
  3. Step 3: Cross multiply
    2,842.04x = 3,918.48 × 1,832.04
  4. Step 4: Simplify right side
    2,842.04x = 7,178,812.10
  5. Step 5: Solve for x
    x = 7,178,812.10/2,842.04
  6. Step 6: Final answer
    x = 2,525.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.