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Finding the Fourth Proportional to 1,789.83, 2,471.04 and 1,291.95

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Solution

The fourth proportional to 1,789.83, 2,471.04 and 1,291.95 is: 1,783.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.83 : 2,471.04 = 1,291.95 : x
  2. Step 2: Convert to fraction form
    1,789.83/2,471.04 = 1,291.95/x
  3. Step 3: Cross multiply
    1,789.83x = 2,471.04 × 1,291.95
  4. Step 4: Simplify right side
    1,789.83x = 3,192,460.13
  5. Step 5: Solve for x
    x = 3,192,460.13/1,789.83
  6. Step 6: Final answer
    x = 1,783.67

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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.