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Finding the Fourth Proportional to 2,087.75, 2,880.30 and 1,379.93

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Solution

The fourth proportional to 2,087.75, 2,880.30 and 1,379.93 is: 1,903.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.75 : 2,880.30 = 1,379.93 : x
  2. Step 2: Convert to fraction form
    2,087.75/2,880.30 = 1,379.93/x
  3. Step 3: Cross multiply
    2,087.75x = 2,880.30 × 1,379.93
  4. Step 4: Simplify right side
    2,087.75x = 3,974,612.38
  5. Step 5: Solve for x
    x = 3,974,612.38/2,087.75
  6. Step 6: Final answer
    x = 1,903.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.