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Finding the Fourth Proportional to 1,926, 2,658.96 and 1,476.99

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Solution

The fourth proportional to 1,926, 2,658.96 and 1,476.99 is: 2,039.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926 : 2,658.96 = 1,476.99 : x
  2. Step 2: Convert to fraction form
    1,926/2,658.96 = 1,476.99/x
  3. Step 3: Cross multiply
    1,926x = 2,658.96 × 1,476.99
  4. Step 4: Simplify right side
    1,926x = 3,927,257.33
  5. Step 5: Solve for x
    x = 3,927,257.33/1,926
  6. Step 6: Final answer
    x = 2,039.07

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Why These Related Problems?

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