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Finding the Fourth Proportional to 1,459.82, 2,003.84 and 1,290.33

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Solution

The fourth proportional to 1,459.82, 2,003.84 and 1,290.33 is: 1,771.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.82 : 2,003.84 = 1,290.33 : x
  2. Step 2: Convert to fraction form
    1,459.82/2,003.84 = 1,290.33/x
  3. Step 3: Cross multiply
    1,459.82x = 2,003.84 × 1,290.33
  4. Step 4: Simplify right side
    1,459.82x = 2,585,613.25
  5. Step 5: Solve for x
    x = 2,585,613.25/1,459.82
  6. Step 6: Final answer
    x = 1,771.18

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.