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Finding the Fourth Proportional to 1,907.72, 2,859.90 and 811.88

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Solution

The fourth proportional to 1,907.72, 2,859.90 and 811.88 is: 1,217.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,907.72 : 2,859.90 = 811.88 : x
  2. Step 2: Convert to fraction form
    1,907.72/2,859.90 = 811.88/x
  3. Step 3: Cross multiply
    1,907.72x = 2,859.90 × 811.88
  4. Step 4: Simplify right side
    1,907.72x = 2,321,895.61
  5. Step 5: Solve for x
    x = 2,321,895.61/1,907.72
  6. Step 6: Final answer
    x = 1,217.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.