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Finding the Fourth Proportional to 2,520.35, 3,478 and 1,443.58

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Solution

The fourth proportional to 2,520.35, 3,478 and 1,443.58 is: 1,992.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,520.35 : 3,478 = 1,443.58 : x
  2. Step 2: Convert to fraction form
    2,520.35/3,478 = 1,443.58/x
  3. Step 3: Cross multiply
    2,520.35x = 3,478 × 1,443.58
  4. Step 4: Simplify right side
    2,520.35x = 5,020,771.24
  5. Step 5: Solve for x
    x = 5,020,771.24/2,520.35
  6. Step 6: Final answer
    x = 1,992.09

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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.