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Finding the Fourth Proportional to 2,674.15, 4,005.16 and 1,288.48

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Solution

The fourth proportional to 2,674.15, 4,005.16 and 1,288.48 is: 1,929.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.15 : 4,005.16 = 1,288.48 : x
  2. Step 2: Convert to fraction form
    2,674.15/4,005.16 = 1,288.48/x
  3. Step 3: Cross multiply
    2,674.15x = 4,005.16 × 1,288.48
  4. Step 4: Simplify right side
    2,674.15x = 5,160,548.53
  5. Step 5: Solve for x
    x = 5,160,548.53/2,674.15
  6. Step 6: Final answer
    x = 1,929.79

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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.