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Finding the Fourth Proportional to 2,520.85, 3,478.81 and 1,401.86

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Solution

The fourth proportional to 2,520.85, 3,478.81 and 1,401.86 is: 1,934.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,520.85 : 3,478.81 = 1,401.86 : x
  2. Step 2: Convert to fraction form
    2,520.85/3,478.81 = 1,401.86/x
  3. Step 3: Cross multiply
    2,520.85x = 3,478.81 × 1,401.86
  4. Step 4: Simplify right side
    2,520.85x = 4,876,804.59
  5. Step 5: Solve for x
    x = 4,876,804.59/2,520.85
  6. Step 6: Final answer
    x = 1,934.59

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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.