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Finding the Fourth Proportional to 1,907.31, 2,860.76 and 608.61

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Solution

The fourth proportional to 1,907.31, 2,860.76 and 608.61 is: 912.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,907.31 : 2,860.76 = 608.61 : x
  2. Step 2: Convert to fraction form
    1,907.31/2,860.76 = 608.61/x
  3. Step 3: Cross multiply
    1,907.31x = 2,860.76 × 608.61
  4. Step 4: Simplify right side
    1,907.31x = 1,741,084.10
  5. Step 5: Solve for x
    x = 1,741,084.10/1,907.31
  6. Step 6: Final answer
    x = 912.85

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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.