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Finding the Fourth Proportional to 1,822.74, 2,512.14 and 1,318.56

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Solution

The fourth proportional to 1,822.74, 2,512.14 and 1,318.56 is: 1,817.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.74 : 2,512.14 = 1,318.56 : x
  2. Step 2: Convert to fraction form
    1,822.74/2,512.14 = 1,318.56/x
  3. Step 3: Cross multiply
    1,822.74x = 2,512.14 × 1,318.56
  4. Step 4: Simplify right side
    1,822.74x = 3,312,407.32
  5. Step 5: Solve for x
    x = 3,312,407.32/1,822.74
  6. Step 6: Final answer
    x = 1,817.27

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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.