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Finding the Fourth Proportional to 1,731.96, 2,598.54 and 1,081.92

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Solution

The fourth proportional to 1,731.96, 2,598.54 and 1,081.92 is: 1,623.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.96 : 2,598.54 = 1,081.92 : x
  2. Step 2: Convert to fraction form
    1,731.96/2,598.54 = 1,081.92/x
  3. Step 3: Cross multiply
    1,731.96x = 2,598.54 × 1,081.92
  4. Step 4: Simplify right side
    1,731.96x = 2,811,412.40
  5. Step 5: Solve for x
    x = 2,811,412.40/1,731.96
  6. Step 6: Final answer
    x = 1,623.25

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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.