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Finding the Fourth Proportional to 3,034.68, 4,551.37 and 954.42

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Solution

The fourth proportional to 3,034.68, 4,551.37 and 954.42 is: 1,431.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,034.68 : 4,551.37 = 954.42 : x
  2. Step 2: Convert to fraction form
    3,034.68/4,551.37 = 954.42/x
  3. Step 3: Cross multiply
    3,034.68x = 4,551.37 × 954.42
  4. Step 4: Simplify right side
    3,034.68x = 4,343,918.56
  5. Step 5: Solve for x
    x = 4,343,918.56/3,034.68
  6. Step 6: Final answer
    x = 1,431.43

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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.