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Finding the Fourth Proportional to 2,310.30, 3,465.41 and 578.92

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Solution

The fourth proportional to 2,310.30, 3,465.41 and 578.92 is: 868.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.30 : 3,465.41 = 578.92 : x
  2. Step 2: Convert to fraction form
    2,310.30/3,465.41 = 578.92/x
  3. Step 3: Cross multiply
    2,310.30x = 3,465.41 × 578.92
  4. Step 4: Simplify right side
    2,310.30x = 2,006,195.16
  5. Step 5: Solve for x
    x = 2,006,195.16/2,310.30
  6. Step 6: Final answer
    x = 868.37

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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.