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Finding the Fourth Proportional to 1,433.33, 1,978.01 and 873.72

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Solution

The fourth proportional to 1,433.33, 1,978.01 and 873.72 is: 1,205.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.33 : 1,978.01 = 873.72 : x
  2. Step 2: Convert to fraction form
    1,433.33/1,978.01 = 873.72/x
  3. Step 3: Cross multiply
    1,433.33x = 1,978.01 × 873.72
  4. Step 4: Simplify right side
    1,433.33x = 1,728,226.90
  5. Step 5: Solve for x
    x = 1,728,226.90/1,433.33
  6. Step 6: Final answer
    x = 1,205.74

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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.