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Finding the Fourth Proportional to 2,520.74, 3,478.58 and 1,401.54

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Solution

The fourth proportional to 2,520.74, 3,478.58 and 1,401.54 is: 1,934.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,520.74 : 3,478.58 = 1,401.54 : x
  2. Step 2: Convert to fraction form
    2,520.74/3,478.58 = 1,401.54/x
  3. Step 3: Cross multiply
    2,520.74x = 3,478.58 × 1,401.54
  4. Step 4: Simplify right side
    2,520.74x = 4,875,369.01
  5. Step 5: Solve for x
    x = 4,875,369.01/2,520.74
  6. Step 6: Final answer
    x = 1,934.10

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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.