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Finding the Fourth Proportional to 2,429.64, 3,642.30 and 967.86

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Solution

The fourth proportional to 2,429.64, 3,642.30 and 967.86 is: 1,450.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.64 : 3,642.30 = 967.86 : x
  2. Step 2: Convert to fraction form
    2,429.64/3,642.30 = 967.86/x
  3. Step 3: Cross multiply
    2,429.64x = 3,642.30 × 967.86
  4. Step 4: Simplify right side
    2,429.64x = 3,525,236.48
  5. Step 5: Solve for x
    x = 3,525,236.48/2,429.64
  6. Step 6: Final answer
    x = 1,450.93

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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.