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Finding the Fourth Proportional to 2,464.53, 3,401.06 and 1,580.85

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Solution

The fourth proportional to 2,464.53, 3,401.06 and 1,580.85 is: 2,181.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.53 : 3,401.06 = 1,580.85 : x
  2. Step 2: Convert to fraction form
    2,464.53/3,401.06 = 1,580.85/x
  3. Step 3: Cross multiply
    2,464.53x = 3,401.06 × 1,580.85
  4. Step 4: Simplify right side
    2,464.53x = 5,376,565.70
  5. Step 5: Solve for x
    x = 5,376,565.70/2,464.53
  6. Step 6: Final answer
    x = 2,181.58

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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.