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Finding the Fourth Proportional to 2,512.64, 3,464.96 and 1,580.80

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Solution

The fourth proportional to 2,512.64, 3,464.96 and 1,580.80 is: 2,179.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.64 : 3,464.96 = 1,580.80 : x
  2. Step 2: Convert to fraction form
    2,512.64/3,464.96 = 1,580.80/x
  3. Step 3: Cross multiply
    2,512.64x = 3,464.96 × 1,580.80
  4. Step 4: Simplify right side
    2,512.64x = 5,477,408.77
  5. Step 5: Solve for x
    x = 5,477,408.77/2,512.64
  6. Step 6: Final answer
    x = 2,179.94

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