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Finding the Fourth Proportional to 1,459.70, 2,180.22 and 1,265.30

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Solution

The fourth proportional to 1,459.70, 2,180.22 and 1,265.30 is: 1,889.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.70 : 2,180.22 = 1,265.30 : x
  2. Step 2: Convert to fraction form
    1,459.70/2,180.22 = 1,265.30/x
  3. Step 3: Cross multiply
    1,459.70x = 2,180.22 × 1,265.30
  4. Step 4: Simplify right side
    1,459.70x = 2,758,632.37
  5. Step 5: Solve for x
    x = 2,758,632.37/1,459.70
  6. Step 6: Final answer
    x = 1,889.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.