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Finding the Fourth Proportional to 7,190.67, 10,787.04 and 2,258.65

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Solution

The fourth proportional to 7,190.67, 10,787.04 and 2,258.65 is: 3,388.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,190.67 : 10,787.04 = 2,258.65 : x
  2. Step 2: Convert to fraction form
    7,190.67/10,787.04 = 2,258.65/x
  3. Step 3: Cross multiply
    7,190.67x = 10,787.04 × 2,258.65
  4. Step 4: Simplify right side
    7,190.67x = 24,364,106.34
  5. Step 5: Solve for x
    x = 24,364,106.34/7,190.67
  6. Step 6: Final answer
    x = 3,388.29

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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.