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Finding the Fourth Proportional to 1,760.23, 2,428.12 and 1,550.91

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Solution

The fourth proportional to 1,760.23, 2,428.12 and 1,550.91 is: 2,139.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.23 : 2,428.12 = 1,550.91 : x
  2. Step 2: Convert to fraction form
    1,760.23/2,428.12 = 1,550.91/x
  3. Step 3: Cross multiply
    1,760.23x = 2,428.12 × 1,550.91
  4. Step 4: Simplify right side
    1,760.23x = 3,765,795.59
  5. Step 5: Solve for x
    x = 3,765,795.59/1,760.23
  6. Step 6: Final answer
    x = 2,139.38

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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.