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Finding the Fourth Proportional to 1,850.69, 2,554.95 and 1,471.83

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Solution

The fourth proportional to 1,850.69, 2,554.95 and 1,471.83 is: 2,031.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,850.69 : 2,554.95 = 1,471.83 : x
  2. Step 2: Convert to fraction form
    1,850.69/2,554.95 = 1,471.83/x
  3. Step 3: Cross multiply
    1,850.69x = 2,554.95 × 1,471.83
  4. Step 4: Simplify right side
    1,850.69x = 3,760,452.06
  5. Step 5: Solve for x
    x = 3,760,452.06/1,850.69
  6. Step 6: Final answer
    x = 2,031.92

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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.