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Finding the Fourth Proportional to 1,852.80, 2,556.79 and 1,066.69

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Solution

The fourth proportional to 1,852.80, 2,556.79 and 1,066.69 is: 1,471.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.80 : 2,556.79 = 1,066.69 : x
  2. Step 2: Convert to fraction form
    1,852.80/2,556.79 = 1,066.69/x
  3. Step 3: Cross multiply
    1,852.80x = 2,556.79 × 1,066.69
  4. Step 4: Simplify right side
    1,852.80x = 2,727,302.33
  5. Step 5: Solve for x
    x = 2,727,302.33/1,852.80
  6. Step 6: Final answer
    x = 1,471.99

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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.