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Finding the Fourth Proportional to 2,451.63, 3,674.19 and 1,282.64

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Solution

The fourth proportional to 2,451.63, 3,674.19 and 1,282.64 is: 1,922.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.63 : 3,674.19 = 1,282.64 : x
  2. Step 2: Convert to fraction form
    2,451.63/3,674.19 = 1,282.64/x
  3. Step 3: Cross multiply
    2,451.63x = 3,674.19 × 1,282.64
  4. Step 4: Simplify right side
    2,451.63x = 4,712,649.50
  5. Step 5: Solve for x
    x = 4,712,649.50/2,451.63
  6. Step 6: Final answer
    x = 1,922.25

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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.