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Finding the Fourth Proportional to 1,471.14, 2,026.64 and 1,260.64

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Solution

The fourth proportional to 1,471.14, 2,026.64 and 1,260.64 is: 1,736.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.14 : 2,026.64 = 1,260.64 : x
  2. Step 2: Convert to fraction form
    1,471.14/2,026.64 = 1,260.64/x
  3. Step 3: Cross multiply
    1,471.14x = 2,026.64 × 1,260.64
  4. Step 4: Simplify right side
    1,471.14x = 2,554,863.45
  5. Step 5: Solve for x
    x = 2,554,863.45/1,471.14
  6. Step 6: Final answer
    x = 1,736.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.