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Finding the Fourth Proportional to 2,580.34, 3,560.87 and 1,401.41

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Solution

The fourth proportional to 2,580.34, 3,560.87 and 1,401.41 is: 1,933.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.34 : 3,560.87 = 1,401.41 : x
  2. Step 2: Convert to fraction form
    2,580.34/3,560.87 = 1,401.41/x
  3. Step 3: Cross multiply
    2,580.34x = 3,560.87 × 1,401.41
  4. Step 4: Simplify right side
    2,580.34x = 4,990,238.83
  5. Step 5: Solve for x
    x = 4,990,238.83/2,580.34
  6. Step 6: Final answer
    x = 1,933.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.