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Finding the Fourth Proportional to 1,829.77, 2,745.29 and 905.15

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Solution

The fourth proportional to 1,829.77, 2,745.29 and 905.15 is: 1,358.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.77 : 2,745.29 = 905.15 : x
  2. Step 2: Convert to fraction form
    1,829.77/2,745.29 = 905.15/x
  3. Step 3: Cross multiply
    1,829.77x = 2,745.29 × 905.15
  4. Step 4: Simplify right side
    1,829.77x = 2,484,908.37
  5. Step 5: Solve for x
    x = 2,484,908.37/1,829.77
  6. Step 6: Final answer
    x = 1,358.05

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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.