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Finding the Fourth Proportional to 3,073, 4,609.44 and 1,124.68

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Solution

The fourth proportional to 3,073, 4,609.44 and 1,124.68 is: 1,687.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073 : 4,609.44 = 1,124.68 : x
  2. Step 2: Convert to fraction form
    3,073/4,609.44 = 1,124.68/x
  3. Step 3: Cross multiply
    3,073x = 4,609.44 × 1,124.68
  4. Step 4: Simplify right side
    3,073x = 5,184,144.98
  5. Step 5: Solve for x
    x = 5,184,144.98/3,073
  6. Step 6: Final answer
    x = 1,687.00

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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.