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Finding the Fourth Proportional to 2,310.66, 3,465.88 and 849.71

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Solution

The fourth proportional to 2,310.66, 3,465.88 and 849.71 is: 1,274.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.66 : 3,465.88 = 849.71 : x
  2. Step 2: Convert to fraction form
    2,310.66/3,465.88 = 849.71/x
  3. Step 3: Cross multiply
    2,310.66x = 3,465.88 × 849.71
  4. Step 4: Simplify right side
    2,310.66x = 2,944,992.89
  5. Step 5: Solve for x
    x = 2,944,992.89/2,310.66
  6. Step 6: Final answer
    x = 1,274.52

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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.