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Finding the Fourth Proportional to 1,426.64, 1,971.49 and 1,029.61

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Solution

The fourth proportional to 1,426.64, 1,971.49 and 1,029.61 is: 1,422.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.64 : 1,971.49 = 1,029.61 : x
  2. Step 2: Convert to fraction form
    1,426.64/1,971.49 = 1,029.61/x
  3. Step 3: Cross multiply
    1,426.64x = 1,971.49 × 1,029.61
  4. Step 4: Simplify right side
    1,426.64x = 2,029,858.32
  5. Step 5: Solve for x
    x = 2,029,858.32/1,426.64
  6. Step 6: Final answer
    x = 1,422.82

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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.