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Finding the Fourth Proportional to 3,129.81, 4,695.03 and 1,155.03

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Solution

The fourth proportional to 3,129.81, 4,695.03 and 1,155.03 is: 1,732.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.81 : 4,695.03 = 1,155.03 : x
  2. Step 2: Convert to fraction form
    3,129.81/4,695.03 = 1,155.03/x
  3. Step 3: Cross multiply
    3,129.81x = 4,695.03 × 1,155.03
  4. Step 4: Simplify right side
    3,129.81x = 5,422,900.50
  5. Step 5: Solve for x
    x = 5,422,900.50/3,129.81
  6. Step 6: Final answer
    x = 1,732.66

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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.