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Finding the Fourth Proportional to 1,636.54, 2,456.89 and 988.54

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Solution

The fourth proportional to 1,636.54, 2,456.89 and 988.54 is: 1,484.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.54 : 2,456.89 = 988.54 : x
  2. Step 2: Convert to fraction form
    1,636.54/2,456.89 = 988.54/x
  3. Step 3: Cross multiply
    1,636.54x = 2,456.89 × 988.54
  4. Step 4: Simplify right side
    1,636.54x = 2,428,734.04
  5. Step 5: Solve for x
    x = 2,428,734.04/1,636.54
  6. Step 6: Final answer
    x = 1,484.07

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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.