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Finding the Fourth Proportional to 2,315.73, 3,473.55 and 584.37

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Solution

The fourth proportional to 2,315.73, 3,473.55 and 584.37 is: 876.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.73 : 3,473.55 = 584.37 : x
  2. Step 2: Convert to fraction form
    2,315.73/3,473.55 = 584.37/x
  3. Step 3: Cross multiply
    2,315.73x = 3,473.55 × 584.37
  4. Step 4: Simplify right side
    2,315.73x = 2,029,838.41
  5. Step 5: Solve for x
    x = 2,029,838.41/2,315.73
  6. Step 6: Final answer
    x = 876.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.