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Finding the Fourth Proportional to 2,591, 3,572.26 and 2,118.36

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Solution

The fourth proportional to 2,591, 3,572.26 and 2,118.36 is: 2,920.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591 : 3,572.26 = 2,118.36 : x
  2. Step 2: Convert to fraction form
    2,591/3,572.26 = 2,118.36/x
  3. Step 3: Cross multiply
    2,591x = 3,572.26 × 2,118.36
  4. Step 4: Simplify right side
    2,591x = 7,567,332.69
  5. Step 5: Solve for x
    x = 7,567,332.69/2,591
  6. Step 6: Final answer
    x = 2,920.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.