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Finding the Fourth Proportional to 2,310.79, 3,466.45 and 849.95

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Solution

The fourth proportional to 2,310.79, 3,466.45 and 849.95 is: 1,275.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.79 : 3,466.45 = 849.95 : x
  2. Step 2: Convert to fraction form
    2,310.79/3,466.45 = 849.95/x
  3. Step 3: Cross multiply
    2,310.79x = 3,466.45 × 849.95
  4. Step 4: Simplify right side
    2,310.79x = 2,946,309.18
  5. Step 5: Solve for x
    x = 2,946,309.18/2,310.79
  6. Step 6: Final answer
    x = 1,275.02

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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.