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Finding the Fourth Proportional to 1,500.38, 2,259.79 and 1,270.88

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Solution

The fourth proportional to 1,500.38, 2,259.79 and 1,270.88 is: 1,914.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.38 : 2,259.79 = 1,270.88 : x
  2. Step 2: Convert to fraction form
    1,500.38/2,259.79 = 1,270.88/x
  3. Step 3: Cross multiply
    1,500.38x = 2,259.79 × 1,270.88
  4. Step 4: Simplify right side
    1,500.38x = 2,871,915.56
  5. Step 5: Solve for x
    x = 2,871,915.56/1,500.38
  6. Step 6: Final answer
    x = 1,914.13

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.