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Finding the Fourth Proportional to 1,697.57, 2,534.87 and 1,346.97

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Solution

The fourth proportional to 1,697.57, 2,534.87 and 1,346.97 is: 2,011.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.57 : 2,534.87 = 1,346.97 : x
  2. Step 2: Convert to fraction form
    1,697.57/2,534.87 = 1,346.97/x
  3. Step 3: Cross multiply
    1,697.57x = 2,534.87 × 1,346.97
  4. Step 4: Simplify right side
    1,697.57x = 3,414,390.12
  5. Step 5: Solve for x
    x = 3,414,390.12/1,697.57
  6. Step 6: Final answer
    x = 2,011.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.