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Finding the Fourth Proportional to 1,182.65, 1,782.83 and 1,103.36

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Solution

The fourth proportional to 1,182.65, 1,782.83 and 1,103.36 is: 1,663.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.65 : 1,782.83 = 1,103.36 : x
  2. Step 2: Convert to fraction form
    1,182.65/1,782.83 = 1,103.36/x
  3. Step 3: Cross multiply
    1,182.65x = 1,782.83 × 1,103.36
  4. Step 4: Simplify right side
    1,182.65x = 1,967,103.31
  5. Step 5: Solve for x
    x = 1,967,103.31/1,182.65
  6. Step 6: Final answer
    x = 1,663.30

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.