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Finding the Fourth Proportional to 2,624.00, 3,935.74 and 868.93

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Solution

The fourth proportional to 2,624.00, 3,935.74 and 868.93 is: 1,303.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,624.00 : 3,935.74 = 868.93 : x
  2. Step 2: Convert to fraction form
    2,624.00/3,935.74 = 868.93/x
  3. Step 3: Cross multiply
    2,624.00x = 3,935.74 × 868.93
  4. Step 4: Simplify right side
    2,624.00x = 3,419,872.18
  5. Step 5: Solve for x
    x = 3,419,872.18/2,624.00
  6. Step 6: Final answer
    x = 1,303.31

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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.