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Finding the Fourth Proportional to 1,697.60, 2,340.92 and 1,342.96

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Solution

The fourth proportional to 1,697.60, 2,340.92 and 1,342.96 is: 1,851.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.60 : 2,340.92 = 1,342.96 : x
  2. Step 2: Convert to fraction form
    1,697.60/2,340.92 = 1,342.96/x
  3. Step 3: Cross multiply
    1,697.60x = 2,340.92 × 1,342.96
  4. Step 4: Simplify right side
    1,697.60x = 3,143,751.87
  5. Step 5: Solve for x
    x = 3,143,751.87/1,697.60
  6. Step 6: Final answer
    x = 1,851.88

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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.