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Finding the Fourth Proportional to 1,835.74, 2,532.39 and 1,162.41

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Solution

The fourth proportional to 1,835.74, 2,532.39 and 1,162.41 is: 1,603.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835.74 : 2,532.39 = 1,162.41 : x
  2. Step 2: Convert to fraction form
    1,835.74/2,532.39 = 1,162.41/x
  3. Step 3: Cross multiply
    1,835.74x = 2,532.39 × 1,162.41
  4. Step 4: Simplify right side
    1,835.74x = 2,943,675.46
  5. Step 5: Solve for x
    x = 2,943,675.46/1,835.74
  6. Step 6: Final answer
    x = 1,603.54

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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.