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Finding the Fourth Proportional to 3,042.56, 4,563.84 and 734.06

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Solution

The fourth proportional to 3,042.56, 4,563.84 and 734.06 is: 1,101.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.56 : 4,563.84 = 734.06 : x
  2. Step 2: Convert to fraction form
    3,042.56/4,563.84 = 734.06/x
  3. Step 3: Cross multiply
    3,042.56x = 4,563.84 × 734.06
  4. Step 4: Simplify right side
    3,042.56x = 3,350,146.55
  5. Step 5: Solve for x
    x = 3,350,146.55/3,042.56
  6. Step 6: Final answer
    x = 1,101.09

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1.5x scale

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.