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Finding the Fourth Proportional to 3,023.74, 4,172.74 and 1,697.50

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Solution

The fourth proportional to 3,023.74, 4,172.74 and 1,697.50 is: 2,342.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.74 : 4,172.74 = 1,697.50 : x
  2. Step 2: Convert to fraction form
    3,023.74/4,172.74 = 1,697.50/x
  3. Step 3: Cross multiply
    3,023.74x = 4,172.74 × 1,697.50
  4. Step 4: Simplify right side
    3,023.74x = 7,083,226.15
  5. Step 5: Solve for x
    x = 7,083,226.15/3,023.74
  6. Step 6: Final answer
    x = 2,342.54

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1.5x scale

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.