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Finding the Fourth Proportional to 3,034.56, 4,554 and 1,303.68

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Solution

The fourth proportional to 3,034.56, 4,554 and 1,303.68 is: 1,956.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,034.56 : 4,554 = 1,303.68 : x
  2. Step 2: Convert to fraction form
    3,034.56/4,554 = 1,303.68/x
  3. Step 3: Cross multiply
    3,034.56x = 4,554 × 1,303.68
  4. Step 4: Simplify right side
    3,034.56x = 5,936,958.72
  5. Step 5: Solve for x
    x = 5,936,958.72/3,034.56
  6. Step 6: Final answer
    x = 1,956.45

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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.