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Finding the Fourth Proportional to 2,315.58, 3,473.49 and 584.22

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Solution

The fourth proportional to 2,315.58, 3,473.49 and 584.22 is: 876.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.58 : 3,473.49 = 584.22 : x
  2. Step 2: Convert to fraction form
    2,315.58/3,473.49 = 584.22/x
  3. Step 3: Cross multiply
    2,315.58x = 3,473.49 × 584.22
  4. Step 4: Simplify right side
    2,315.58x = 2,029,282.33
  5. Step 5: Solve for x
    x = 2,029,282.33/2,315.58
  6. Step 6: Final answer
    x = 876.36

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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.