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Finding the Fourth Proportional to 3,023.70, 4,173 and 1,697.52

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Solution

The fourth proportional to 3,023.70, 4,173 and 1,697.52 is: 2,342.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.70 : 4,173 = 1,697.52 : x
  2. Step 2: Convert to fraction form
    3,023.70/4,173 = 1,697.52/x
  3. Step 3: Cross multiply
    3,023.70x = 4,173 × 1,697.52
  4. Step 4: Simplify right side
    3,023.70x = 7,083,750.96
  5. Step 5: Solve for x
    x = 7,083,750.96/3,023.70
  6. Step 6: Final answer
    x = 2,342.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.