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Finding the Fourth Proportional to 1,723.97, 2,585.61 and 846.09

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Solution

The fourth proportional to 1,723.97, 2,585.61 and 846.09 is: 1,268.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.97 : 2,585.61 = 846.09 : x
  2. Step 2: Convert to fraction form
    1,723.97/2,585.61 = 846.09/x
  3. Step 3: Cross multiply
    1,723.97x = 2,585.61 × 846.09
  4. Step 4: Simplify right side
    1,723.97x = 2,187,658.76
  5. Step 5: Solve for x
    x = 2,187,658.76/1,723.97
  6. Step 6: Final answer
    x = 1,268.97

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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.