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Finding the Fourth Proportional to 2,736.64, 4,101.52 and 1,567.61

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Solution

The fourth proportional to 2,736.64, 4,101.52 and 1,567.61 is: 2,349.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736.64 : 4,101.52 = 1,567.61 : x
  2. Step 2: Convert to fraction form
    2,736.64/4,101.52 = 1,567.61/x
  3. Step 3: Cross multiply
    2,736.64x = 4,101.52 × 1,567.61
  4. Step 4: Simplify right side
    2,736.64x = 6,429,583.77
  5. Step 5: Solve for x
    x = 6,429,583.77/2,736.64
  6. Step 6: Final answer
    x = 2,349.44

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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.