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Finding the Fourth Proportional to 2,551.14, 3,520.35 and 1,503

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Solution

The fourth proportional to 2,551.14, 3,520.35 and 1,503 is: 2,074.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.14 : 3,520.35 = 1,503 : x
  2. Step 2: Convert to fraction form
    2,551.14/3,520.35 = 1,503/x
  3. Step 3: Cross multiply
    2,551.14x = 3,520.35 × 1,503
  4. Step 4: Simplify right side
    2,551.14x = 5,291,086.05
  5. Step 5: Solve for x
    x = 5,291,086.05/2,551.14
  6. Step 6: Final answer
    x = 2,074.01

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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.