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Finding the Fourth Proportional to 2,310.35, 3,465.06 and 829.32

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Solution

The fourth proportional to 2,310.35, 3,465.06 and 829.32 is: 1,243.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.35 : 3,465.06 = 829.32 : x
  2. Step 2: Convert to fraction form
    2,310.35/3,465.06 = 829.32/x
  3. Step 3: Cross multiply
    2,310.35x = 3,465.06 × 829.32
  4. Step 4: Simplify right side
    2,310.35x = 2,873,643.56
  5. Step 5: Solve for x
    x = 2,873,643.56/2,310.35
  6. Step 6: Final answer
    x = 1,243.82

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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.