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Finding the Fourth Proportional to 2,381.16, 3,571.74 and 1,353

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Solution

The fourth proportional to 2,381.16, 3,571.74 and 1,353 is: 2,029.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.16 : 3,571.74 = 1,353 : x
  2. Step 2: Convert to fraction form
    2,381.16/3,571.74 = 1,353/x
  3. Step 3: Cross multiply
    2,381.16x = 3,571.74 × 1,353
  4. Step 4: Simplify right side
    2,381.16x = 4,832,564.22
  5. Step 5: Solve for x
    x = 4,832,564.22/2,381.16
  6. Step 6: Final answer
    x = 2,029.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.