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Finding the Fourth Proportional to 1,945.00, 2,683.62 and 1,105.50

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Solution

The fourth proportional to 1,945.00, 2,683.62 and 1,105.50 is: 1,525.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.00 : 2,683.62 = 1,105.50 : x
  2. Step 2: Convert to fraction form
    1,945.00/2,683.62 = 1,105.50/x
  3. Step 3: Cross multiply
    1,945.00x = 2,683.62 × 1,105.50
  4. Step 4: Simplify right side
    1,945.00x = 2,966,741.91
  5. Step 5: Solve for x
    x = 2,966,741.91/1,945.00
  6. Step 6: Final answer
    x = 1,525.32

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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.