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Finding the Fourth Proportional to 1,782.36, 2,673.54 and 1,169.94

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Solution

The fourth proportional to 1,782.36, 2,673.54 and 1,169.94 is: 1,754.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.36 : 2,673.54 = 1,169.94 : x
  2. Step 2: Convert to fraction form
    1,782.36/2,673.54 = 1,169.94/x
  3. Step 3: Cross multiply
    1,782.36x = 2,673.54 × 1,169.94
  4. Step 4: Simplify right side
    1,782.36x = 3,127,881.39
  5. Step 5: Solve for x
    x = 3,127,881.39/1,782.36
  6. Step 6: Final answer
    x = 1,754.91

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