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Finding the Fourth Proportional to 3,054.42, 4,581.96 and 974.61

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Solution

The fourth proportional to 3,054.42, 4,581.96 and 974.61 is: 1,462.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.42 : 4,581.96 = 974.61 : x
  2. Step 2: Convert to fraction form
    3,054.42/4,581.96 = 974.61/x
  3. Step 3: Cross multiply
    3,054.42x = 4,581.96 × 974.61
  4. Step 4: Simplify right side
    3,054.42x = 4,465,624.04
  5. Step 5: Solve for x
    x = 4,465,624.04/3,054.42
  6. Step 6: Final answer
    x = 1,462.02

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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.