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Finding the Fourth Proportional to 1,511.64, 2,086.50 and 914.14

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Solution

The fourth proportional to 1,511.64, 2,086.50 and 914.14 is: 1,261.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.64 : 2,086.50 = 914.14 : x
  2. Step 2: Convert to fraction form
    1,511.64/2,086.50 = 914.14/x
  3. Step 3: Cross multiply
    1,511.64x = 2,086.50 × 914.14
  4. Step 4: Simplify right side
    1,511.64x = 1,907,348.88
  5. Step 5: Solve for x
    x = 1,907,348.88/1,511.64
  6. Step 6: Final answer
    x = 1,261.77

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