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Finding the Fourth Proportional to 1,926.99, 2,888.33 and 1,771.29

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Solution

The fourth proportional to 1,926.99, 2,888.33 and 1,771.29 is: 2,654.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926.99 : 2,888.33 = 1,771.29 : x
  2. Step 2: Convert to fraction form
    1,926.99/2,888.33 = 1,771.29/x
  3. Step 3: Cross multiply
    1,926.99x = 2,888.33 × 1,771.29
  4. Step 4: Simplify right side
    1,926.99x = 5,116,084.26
  5. Step 5: Solve for x
    x = 5,116,084.26/1,926.99
  6. Step 6: Final answer
    x = 2,654.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.