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Finding the Fourth Proportional to 2,311.65, 3,466.35 and 1,324.32

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Solution

The fourth proportional to 2,311.65, 3,466.35 and 1,324.32 is: 1,985.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.65 : 3,466.35 = 1,324.32 : x
  2. Step 2: Convert to fraction form
    2,311.65/3,466.35 = 1,324.32/x
  3. Step 3: Cross multiply
    2,311.65x = 3,466.35 × 1,324.32
  4. Step 4: Simplify right side
    2,311.65x = 4,590,556.63
  5. Step 5: Solve for x
    x = 4,590,556.63/2,311.65
  6. Step 6: Final answer
    x = 1,985.84

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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.