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Finding the Fourth Proportional to 2,152.30, 3,227.91 and 592.22

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Solution

The fourth proportional to 2,152.30, 3,227.91 and 592.22 is: 888.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.30 : 3,227.91 = 592.22 : x
  2. Step 2: Convert to fraction form
    2,152.30/3,227.91 = 592.22/x
  3. Step 3: Cross multiply
    2,152.30x = 3,227.91 × 592.22
  4. Step 4: Simplify right side
    2,152.30x = 1,911,640.37
  5. Step 5: Solve for x
    x = 1,911,640.37/2,152.30
  6. Step 6: Final answer
    x = 888.19

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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.