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Finding the Fourth Proportional to 1,820.42, 2,512.05 and 1,428.38

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Solution

The fourth proportional to 1,820.42, 2,512.05 and 1,428.38 is: 1,971.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.42 : 2,512.05 = 1,428.38 : x
  2. Step 2: Convert to fraction form
    1,820.42/2,512.05 = 1,428.38/x
  3. Step 3: Cross multiply
    1,820.42x = 2,512.05 × 1,428.38
  4. Step 4: Simplify right side
    1,820.42x = 3,588,161.98
  5. Step 5: Solve for x
    x = 3,588,161.98/1,820.42
  6. Step 6: Final answer
    x = 1,971.06

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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.