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Finding the Fourth Proportional to 1,820.78, 2,512.89 and 1,034.94

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Solution

The fourth proportional to 1,820.78, 2,512.89 and 1,034.94 is: 1,428.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.78 : 2,512.89 = 1,034.94 : x
  2. Step 2: Convert to fraction form
    1,820.78/2,512.89 = 1,034.94/x
  3. Step 3: Cross multiply
    1,820.78x = 2,512.89 × 1,034.94
  4. Step 4: Simplify right side
    1,820.78x = 2,600,694.07
  5. Step 5: Solve for x
    x = 2,600,694.07/1,820.78
  6. Step 6: Final answer
    x = 1,428.34

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1.5x scale

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.