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Finding the Fourth Proportional to 2,315.94, 3,473.91 and 584.58

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Solution

The fourth proportional to 2,315.94, 3,473.91 and 584.58 is: 876.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.94 : 3,473.91 = 584.58 : x
  2. Step 2: Convert to fraction form
    2,315.94/3,473.91 = 584.58/x
  3. Step 3: Cross multiply
    2,315.94x = 3,473.91 × 584.58
  4. Step 4: Simplify right side
    2,315.94x = 2,030,778.31
  5. Step 5: Solve for x
    x = 2,030,778.31/2,315.94
  6. Step 6: Final answer
    x = 876.87

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Why These Related Problems?

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