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Finding the Fourth Proportional to 1,598.31, 2,203.53 and 1,243.73

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Solution

The fourth proportional to 1,598.31, 2,203.53 and 1,243.73 is: 1,714.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.31 : 2,203.53 = 1,243.73 : x
  2. Step 2: Convert to fraction form
    1,598.31/2,203.53 = 1,243.73/x
  3. Step 3: Cross multiply
    1,598.31x = 2,203.53 × 1,243.73
  4. Step 4: Simplify right side
    1,598.31x = 2,740,596.37
  5. Step 5: Solve for x
    x = 2,740,596.37/1,598.31
  6. Step 6: Final answer
    x = 1,714.68

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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.