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Finding the Fourth Proportional to 2,318.25, 3,477.41 and 586.88

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Solution

The fourth proportional to 2,318.25, 3,477.41 and 586.88 is: 880.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.25 : 3,477.41 = 586.88 : x
  2. Step 2: Convert to fraction form
    2,318.25/3,477.41 = 586.88/x
  3. Step 3: Cross multiply
    2,318.25x = 3,477.41 × 586.88
  4. Step 4: Simplify right side
    2,318.25x = 2,040,822.38
  5. Step 5: Solve for x
    x = 2,040,822.38/2,318.25
  6. Step 6: Final answer
    x = 880.33

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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.