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Finding the Fourth Proportional to 2,518.84, 3,475.38 and 1,634.68

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Solution

The fourth proportional to 2,518.84, 3,475.38 and 1,634.68 is: 2,255.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,518.84 : 3,475.38 = 1,634.68 : x
  2. Step 2: Convert to fraction form
    2,518.84/3,475.38 = 1,634.68/x
  3. Step 3: Cross multiply
    2,518.84x = 3,475.38 × 1,634.68
  4. Step 4: Simplify right side
    2,518.84x = 5,681,134.18
  5. Step 5: Solve for x
    x = 5,681,134.18/2,518.84
  6. Step 6: Final answer
    x = 2,255.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.