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Finding the Fourth Proportional to 2,520.48, 3,478.32 and 1,401.48

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Solution

The fourth proportional to 2,520.48, 3,478.32 and 1,401.48 is: 1,934.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,520.48 : 3,478.32 = 1,401.48 : x
  2. Step 2: Convert to fraction form
    2,520.48/3,478.32 = 1,401.48/x
  3. Step 3: Cross multiply
    2,520.48x = 3,478.32 × 1,401.48
  4. Step 4: Simplify right side
    2,520.48x = 4,874,795.91
  5. Step 5: Solve for x
    x = 4,874,795.91/2,520.48
  6. Step 6: Final answer
    x = 1,934.07

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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.