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Finding the Fourth Proportional to 2,171.45, 3,257.08 and 590.24

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Solution

The fourth proportional to 2,171.45, 3,257.08 and 590.24 is: 885.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.45 : 3,257.08 = 590.24 : x
  2. Step 2: Convert to fraction form
    2,171.45/3,257.08 = 590.24/x
  3. Step 3: Cross multiply
    2,171.45x = 3,257.08 × 590.24
  4. Step 4: Simplify right side
    2,171.45x = 1,922,465.57
  5. Step 5: Solve for x
    x = 1,922,465.57/2,171.45
  6. Step 6: Final answer
    x = 885.34

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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.