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Finding the Fourth Proportional to 2,164.40, 2,986.56 and 1,232.88

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Solution

The fourth proportional to 2,164.40, 2,986.56 and 1,232.88 is: 1,701.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.40 : 2,986.56 = 1,232.88 : x
  2. Step 2: Convert to fraction form
    2,164.40/2,986.56 = 1,232.88/x
  3. Step 3: Cross multiply
    2,164.40x = 2,986.56 × 1,232.88
  4. Step 4: Simplify right side
    2,164.40x = 3,682,070.09
  5. Step 5: Solve for x
    x = 3,682,070.09/2,164.40
  6. Step 6: Final answer
    x = 1,701.20

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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.