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Finding the Fourth Proportional to 1,926.79, 2,658.96 and 1,042.61

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Solution

The fourth proportional to 1,926.79, 2,658.96 and 1,042.61 is: 1,438.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926.79 : 2,658.96 = 1,042.61 : x
  2. Step 2: Convert to fraction form
    1,926.79/2,658.96 = 1,042.61/x
  3. Step 3: Cross multiply
    1,926.79x = 2,658.96 × 1,042.61
  4. Step 4: Simplify right side
    1,926.79x = 2,772,254.24
  5. Step 5: Solve for x
    x = 2,772,254.24/1,926.79
  6. Step 6: Final answer
    x = 1,438.79

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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.