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Finding the Fourth Proportional to 3,081.50, 4,620 and 1,133.72

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Solution

The fourth proportional to 3,081.50, 4,620 and 1,133.72 is: 1,699.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,081.50 : 4,620 = 1,133.72 : x
  2. Step 2: Convert to fraction form
    3,081.50/4,620 = 1,133.72/x
  3. Step 3: Cross multiply
    3,081.50x = 4,620 × 1,133.72
  4. Step 4: Simplify right side
    3,081.50x = 5,237,786.40
  5. Step 5: Solve for x
    x = 5,237,786.40/3,081.50
  6. Step 6: Final answer
    x = 1,699.75

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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.