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Finding the Fourth Proportional to 1,723.18, 2,583.87 and 899.44

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Solution

The fourth proportional to 1,723.18, 2,583.87 and 899.44 is: 1,348.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.18 : 2,583.87 = 899.44 : x
  2. Step 2: Convert to fraction form
    1,723.18/2,583.87 = 899.44/x
  3. Step 3: Cross multiply
    1,723.18x = 2,583.87 × 899.44
  4. Step 4: Simplify right side
    1,723.18x = 2,324,036.03
  5. Step 5: Solve for x
    x = 2,324,036.03/1,723.18
  6. Step 6: Final answer
    x = 1,348.69

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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.