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Finding the Fourth Proportional to 1,842.58, 2,546.00 and 1,472.61

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Solution

The fourth proportional to 1,842.58, 2,546.00 and 1,472.61 is: 2,034.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.58 : 2,546.00 = 1,472.61 : x
  2. Step 2: Convert to fraction form
    1,842.58/2,546.00 = 1,472.61/x
  3. Step 3: Cross multiply
    1,842.58x = 2,546.00 × 1,472.61
  4. Step 4: Simplify right side
    1,842.58x = 3,749,272.77
  5. Step 5: Solve for x
    x = 3,749,272.77/1,842.58
  6. Step 6: Final answer
    x = 2,034.79

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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.