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Finding the Fourth Proportional to 1,840.29, 2,760.54 and 744.63

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Solution

The fourth proportional to 1,840.29, 2,760.54 and 744.63 is: 1,116.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840.29 : 2,760.54 = 744.63 : x
  2. Step 2: Convert to fraction form
    1,840.29/2,760.54 = 744.63/x
  3. Step 3: Cross multiply
    1,840.29x = 2,760.54 × 744.63
  4. Step 4: Simplify right side
    1,840.29x = 2,055,580.90
  5. Step 5: Solve for x
    x = 2,055,580.90/1,840.29
  6. Step 6: Final answer
    x = 1,116.99

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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.