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Finding the Fourth Proportional to 2,817.46, 4,226.10 and 1,278.46

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Solution

The fourth proportional to 2,817.46, 4,226.10 and 1,278.46 is: 1,917.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,817.46 : 4,226.10 = 1,278.46 : x
  2. Step 2: Convert to fraction form
    2,817.46/4,226.10 = 1,278.46/x
  3. Step 3: Cross multiply
    2,817.46x = 4,226.10 × 1,278.46
  4. Step 4: Simplify right side
    2,817.46x = 5,402,899.81
  5. Step 5: Solve for x
    x = 5,402,899.81/2,817.46
  6. Step 6: Final answer
    x = 1,917.65

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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.