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Finding the Fourth Proportional to 2,310.96, 3,466.45 and 924.41

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Solution

The fourth proportional to 2,310.96, 3,466.45 and 924.41 is: 1,386.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.96 : 3,466.45 = 924.41 : x
  2. Step 2: Convert to fraction form
    2,310.96/3,466.45 = 924.41/x
  3. Step 3: Cross multiply
    2,310.96x = 3,466.45 × 924.41
  4. Step 4: Simplify right side
    2,310.96x = 3,204,421.04
  5. Step 5: Solve for x
    x = 3,204,421.04/2,310.96
  6. Step 6: Final answer
    x = 1,386.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.