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Finding the Fourth Proportional to 3,044.68, 4,567.02 and 1,196.32

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Solution

The fourth proportional to 3,044.68, 4,567.02 and 1,196.32 is: 1,794.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,044.68 : 4,567.02 = 1,196.32 : x
  2. Step 2: Convert to fraction form
    3,044.68/4,567.02 = 1,196.32/x
  3. Step 3: Cross multiply
    3,044.68x = 4,567.02 × 1,196.32
  4. Step 4: Simplify right side
    3,044.68x = 5,463,617.37
  5. Step 5: Solve for x
    x = 5,463,617.37/3,044.68
  6. Step 6: Final answer
    x = 1,794.48

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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.