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Finding the Fourth Proportional to 2,504.64, 3,751.48 and 1,408.40

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Solution

The fourth proportional to 2,504.64, 3,751.48 and 1,408.40 is: 2,109.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.64 : 3,751.48 = 1,408.40 : x
  2. Step 2: Convert to fraction form
    2,504.64/3,751.48 = 1,408.40/x
  3. Step 3: Cross multiply
    2,504.64x = 3,751.48 × 1,408.40
  4. Step 4: Simplify right side
    2,504.64x = 5,283,584.43
  5. Step 5: Solve for x
    x = 5,283,584.43/2,504.64
  6. Step 6: Final answer
    x = 2,109.52

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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.