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Finding the Fourth Proportional to 2,674.76, 4,012.94 and 943.38

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Solution

The fourth proportional to 2,674.76, 4,012.94 and 943.38 is: 1,415.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.76 : 4,012.94 = 943.38 : x
  2. Step 2: Convert to fraction form
    2,674.76/4,012.94 = 943.38/x
  3. Step 3: Cross multiply
    2,674.76x = 4,012.94 × 943.38
  4. Step 4: Simplify right side
    2,674.76x = 3,785,727.34
  5. Step 5: Solve for x
    x = 3,785,727.34/2,674.76
  6. Step 6: Final answer
    x = 1,415.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.