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Finding the Fourth Proportional to 1,459.53, 2,189.27 and 842.84

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Solution

The fourth proportional to 1,459.53, 2,189.27 and 842.84 is: 1,264.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.53 : 2,189.27 = 842.84 : x
  2. Step 2: Convert to fraction form
    1,459.53/2,189.27 = 842.84/x
  3. Step 3: Cross multiply
    1,459.53x = 2,189.27 × 842.84
  4. Step 4: Simplify right side
    1,459.53x = 1,845,204.33
  5. Step 5: Solve for x
    x = 1,845,204.33/1,459.53
  6. Step 6: Final answer
    x = 1,264.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.