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Finding the Fourth Proportional to 1,182.40, 1,782.46 and 1,103.11

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Solution

The fourth proportional to 1,182.40, 1,782.46 and 1,103.11 is: 1,662.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.40 : 1,782.46 = 1,103.11 : x
  2. Step 2: Convert to fraction form
    1,182.40/1,782.46 = 1,103.11/x
  3. Step 3: Cross multiply
    1,182.40x = 1,782.46 × 1,103.11
  4. Step 4: Simplify right side
    1,182.40x = 1,966,243.94
  5. Step 5: Solve for x
    x = 1,966,243.94/1,182.40
  6. Step 6: Final answer
    x = 1,662.93

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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.