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Finding the Fourth Proportional to 1,914.30, 2,869.59 and 614.82

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Solution

The fourth proportional to 1,914.30, 2,869.59 and 614.82 is: 921.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914.30 : 2,869.59 = 614.82 : x
  2. Step 2: Convert to fraction form
    1,914.30/2,869.59 = 614.82/x
  3. Step 3: Cross multiply
    1,914.30x = 2,869.59 × 614.82
  4. Step 4: Simplify right side
    1,914.30x = 1,764,281.32
  5. Step 5: Solve for x
    x = 1,764,281.32/1,914.30
  6. Step 6: Final answer
    x = 921.63

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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.