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Finding the Fourth Proportional to 2,588.92, 3,881.76 and 1,722.22

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Solution

The fourth proportional to 2,588.92, 3,881.76 and 1,722.22 is: 2,582.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.92 : 3,881.76 = 1,722.22 : x
  2. Step 2: Convert to fraction form
    2,588.92/3,881.76 = 1,722.22/x
  3. Step 3: Cross multiply
    2,588.92x = 3,881.76 × 1,722.22
  4. Step 4: Simplify right side
    2,588.92x = 6,685,228.54
  5. Step 5: Solve for x
    x = 6,685,228.54/2,588.92
  6. Step 6: Final answer
    x = 2,582.25

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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.