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Finding the Fourth Proportional to 2,324.22, 3,486.35 and 592.85

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Solution

The fourth proportional to 2,324.22, 3,486.35 and 592.85 is: 889.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.22 : 3,486.35 = 592.85 : x
  2. Step 2: Convert to fraction form
    2,324.22/3,486.35 = 592.85/x
  3. Step 3: Cross multiply
    2,324.22x = 3,486.35 × 592.85
  4. Step 4: Simplify right side
    2,324.22x = 2,066,866.65
  5. Step 5: Solve for x
    x = 2,066,866.65/2,324.22
  6. Step 6: Final answer
    x = 889.27

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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.