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Finding the Fourth Proportional to 1,735.94, 2,605.20 and 1,274.92

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Solution

The fourth proportional to 1,735.94, 2,605.20 and 1,274.92 is: 1,913.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.94 : 2,605.20 = 1,274.92 : x
  2. Step 2: Convert to fraction form
    1,735.94/2,605.20 = 1,274.92/x
  3. Step 3: Cross multiply
    1,735.94x = 2,605.20 × 1,274.92
  4. Step 4: Simplify right side
    1,735.94x = 3,321,421.58
  5. Step 5: Solve for x
    x = 3,321,421.58/1,735.94
  6. Step 6: Final answer
    x = 1,913.33

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1.5x scale

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.