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Finding the Fourth Proportional to 1,800.32, 2,701.68 and 1,215.64

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Solution

The fourth proportional to 1,800.32, 2,701.68 and 1,215.64 is: 1,824.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,800.32 : 2,701.68 = 1,215.64 : x
  2. Step 2: Convert to fraction form
    1,800.32/2,701.68 = 1,215.64/x
  3. Step 3: Cross multiply
    1,800.32x = 2,701.68 × 1,215.64
  4. Step 4: Simplify right side
    1,800.32x = 3,284,270.28
  5. Step 5: Solve for x
    x = 3,284,270.28/1,800.32
  6. Step 6: Final answer
    x = 1,824.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.