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Finding the Fourth Proportional to 3,128, 4,693.68 and 1,589.12

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Solution

The fourth proportional to 3,128, 4,693.68 and 1,589.12 is: 2,384.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,128 : 4,693.68 = 1,589.12 : x
  2. Step 2: Convert to fraction form
    3,128/4,693.68 = 1,589.12/x
  3. Step 3: Cross multiply
    3,128x = 4,693.68 × 1,589.12
  4. Step 4: Simplify right side
    3,128x = 7,458,820.76
  5. Step 5: Solve for x
    x = 7,458,820.76/3,128
  6. Step 6: Final answer
    x = 2,384.53

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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.