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Finding the Fourth Proportional to 1,433.52, 1,975.08 and 1,196.64

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Solution

The fourth proportional to 1,433.52, 1,975.08 and 1,196.64 is: 1,648.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.52 : 1,975.08 = 1,196.64 : x
  2. Step 2: Convert to fraction form
    1,433.52/1,975.08 = 1,196.64/x
  3. Step 3: Cross multiply
    1,433.52x = 1,975.08 × 1,196.64
  4. Step 4: Simplify right side
    1,433.52x = 2,363,459.73
  5. Step 5: Solve for x
    x = 2,363,459.73/1,433.52
  6. Step 6: Final answer
    x = 1,648.71

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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.