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Finding the Fourth Proportional to 1,926.80, 2,658.93 and 1,087.51

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Solution

The fourth proportional to 1,926.80, 2,658.93 and 1,087.51 is: 1,500.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926.80 : 2,658.93 = 1,087.51 : x
  2. Step 2: Convert to fraction form
    1,926.80/2,658.93 = 1,087.51/x
  3. Step 3: Cross multiply
    1,926.80x = 2,658.93 × 1,087.51
  4. Step 4: Simplify right side
    1,926.80x = 2,891,618.44
  5. Step 5: Solve for x
    x = 2,891,618.44/1,926.80
  6. Step 6: Final answer
    x = 1,500.74

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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.