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Finding the Fourth Proportional to 2,580.35, 3,560.90 and 1,401.44

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Solution

The fourth proportional to 2,580.35, 3,560.90 and 1,401.44 is: 1,933.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.35 : 3,560.90 = 1,401.44 : x
  2. Step 2: Convert to fraction form
    2,580.35/3,560.90 = 1,401.44/x
  3. Step 3: Cross multiply
    2,580.35x = 3,560.90 × 1,401.44
  4. Step 4: Simplify right side
    2,580.35x = 4,990,362.88
  5. Step 5: Solve for x
    x = 4,990,362.88/2,580.35
  6. Step 6: Final answer
    x = 1,933.99

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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.