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Finding the Fourth Proportional to 2,034.08, 3,048.08 and 1,827.53

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Solution

The fourth proportional to 2,034.08, 3,048.08 and 1,827.53 is: 2,738.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.08 : 3,048.08 = 1,827.53 : x
  2. Step 2: Convert to fraction form
    2,034.08/3,048.08 = 1,827.53/x
  3. Step 3: Cross multiply
    2,034.08x = 3,048.08 × 1,827.53
  4. Step 4: Simplify right side
    2,034.08x = 5,570,457.64
  5. Step 5: Solve for x
    x = 5,570,457.64/2,034.08
  6. Step 6: Final answer
    x = 2,738.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.