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Finding the Fourth Proportional to 1,223.01, 1,687.96 and 1,182.51

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Solution

The fourth proportional to 1,223.01, 1,687.96 and 1,182.51 is: 1,632.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.01 : 1,687.96 = 1,182.51 : x
  2. Step 2: Convert to fraction form
    1,223.01/1,687.96 = 1,182.51/x
  3. Step 3: Cross multiply
    1,223.01x = 1,687.96 × 1,182.51
  4. Step 4: Simplify right side
    1,223.01x = 1,996,029.58
  5. Step 5: Solve for x
    x = 1,996,029.58/1,223.01
  6. Step 6: Final answer
    x = 1,632.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.