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Finding the Fourth Proportional to 2,674.96, 4,010.82 and 1,288.24

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Solution

The fourth proportional to 2,674.96, 4,010.82 and 1,288.24 is: 1,931.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.96 : 4,010.82 = 1,288.24 : x
  2. Step 2: Convert to fraction form
    2,674.96/4,010.82 = 1,288.24/x
  3. Step 3: Cross multiply
    2,674.96x = 4,010.82 × 1,288.24
  4. Step 4: Simplify right side
    2,674.96x = 5,166,898.76
  5. Step 5: Solve for x
    x = 5,166,898.76/2,674.96
  6. Step 6: Final answer
    x = 1,931.58

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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.