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Finding the Fourth Proportional to 1,828.88, 2,524.44 and 1,262.02

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Solution

The fourth proportional to 1,828.88, 2,524.44 and 1,262.02 is: 1,741.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.88 : 2,524.44 = 1,262.02 : x
  2. Step 2: Convert to fraction form
    1,828.88/2,524.44 = 1,262.02/x
  3. Step 3: Cross multiply
    1,828.88x = 2,524.44 × 1,262.02
  4. Step 4: Simplify right side
    1,828.88x = 3,185,893.77
  5. Step 5: Solve for x
    x = 3,185,893.77/1,828.88
  6. Step 6: Final answer
    x = 1,741.99

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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.