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Finding the Fourth Proportional to 1,926.90, 2,659.09 and 1,042.70

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Solution

The fourth proportional to 1,926.90, 2,659.09 and 1,042.70 is: 1,438.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926.90 : 2,659.09 = 1,042.70 : x
  2. Step 2: Convert to fraction form
    1,926.90/2,659.09 = 1,042.70/x
  3. Step 3: Cross multiply
    1,926.90x = 2,659.09 × 1,042.70
  4. Step 4: Simplify right side
    1,926.90x = 2,772,633.14
  5. Step 5: Solve for x
    x = 2,772,633.14/1,926.90
  6. Step 6: Final answer
    x = 1,438.91

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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.