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Finding the Fourth Proportional to 2,071.99, 2,859.29 and 1,127.80

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Solution

The fourth proportional to 2,071.99, 2,859.29 and 1,127.80 is: 1,556.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.99 : 2,859.29 = 1,127.80 : x
  2. Step 2: Convert to fraction form
    2,071.99/2,859.29 = 1,127.80/x
  3. Step 3: Cross multiply
    2,071.99x = 2,859.29 × 1,127.80
  4. Step 4: Simplify right side
    2,071.99x = 3,224,698.70
  5. Step 5: Solve for x
    x = 3,224,698.70/2,071.99
  6. Step 6: Final answer
    x = 1,556.33

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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.