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Finding the Fourth Proportional to 1,733.31, 2,387.21 and 1,597.23

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Solution

The fourth proportional to 1,733.31, 2,387.21 and 1,597.23 is: 2,199.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.31 : 2,387.21 = 1,597.23 : x
  2. Step 2: Convert to fraction form
    1,733.31/2,387.21 = 1,597.23/x
  3. Step 3: Cross multiply
    1,733.31x = 2,387.21 × 1,597.23
  4. Step 4: Simplify right side
    1,733.31x = 3,812,915.44
  5. Step 5: Solve for x
    x = 3,812,915.44/1,733.31
  6. Step 6: Final answer
    x = 2,199.79

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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.