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Finding the Fourth Proportional to 2,677.34, 4,014.48 and 1,289.54

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Solution

The fourth proportional to 2,677.34, 4,014.48 and 1,289.54 is: 1,933.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.34 : 4,014.48 = 1,289.54 : x
  2. Step 2: Convert to fraction form
    2,677.34/4,014.48 = 1,289.54/x
  3. Step 3: Cross multiply
    2,677.34x = 4,014.48 × 1,289.54
  4. Step 4: Simplify right side
    2,677.34x = 5,176,832.54
  5. Step 5: Solve for x
    x = 5,176,832.54/2,677.34
  6. Step 6: Final answer
    x = 1,933.57

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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.