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Finding the Fourth Proportional to 1,471.35, 2,215.04 and 1,270.47

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Solution

The fourth proportional to 1,471.35, 2,215.04 and 1,270.47 is: 1,912.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.35 : 2,215.04 = 1,270.47 : x
  2. Step 2: Convert to fraction form
    1,471.35/2,215.04 = 1,270.47/x
  3. Step 3: Cross multiply
    1,471.35x = 2,215.04 × 1,270.47
  4. Step 4: Simplify right side
    1,471.35x = 2,814,145.04
  5. Step 5: Solve for x
    x = 2,814,145.04/1,471.35
  6. Step 6: Final answer
    x = 1,912.63

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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.