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Finding the Fourth Proportional to 1,782.57, 2,462.13 and 1,336.44

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Solution

The fourth proportional to 1,782.57, 2,462.13 and 1,336.44 is: 1,845.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.57 : 2,462.13 = 1,336.44 : x
  2. Step 2: Convert to fraction form
    1,782.57/2,462.13 = 1,336.44/x
  3. Step 3: Cross multiply
    1,782.57x = 2,462.13 × 1,336.44
  4. Step 4: Simplify right side
    1,782.57x = 3,290,489.02
  5. Step 5: Solve for x
    x = 3,290,489.02/1,782.57
  6. Step 6: Final answer
    x = 1,845.92

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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.