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Finding the Fourth Proportional to 1,914.01, 2,869.18 and 614.59

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Solution

The fourth proportional to 1,914.01, 2,869.18 and 614.59 is: 921.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914.01 : 2,869.18 = 614.59 : x
  2. Step 2: Convert to fraction form
    1,914.01/2,869.18 = 614.59/x
  3. Step 3: Cross multiply
    1,914.01x = 2,869.18 × 614.59
  4. Step 4: Simplify right side
    1,914.01x = 1,763,369.34
  5. Step 5: Solve for x
    x = 1,763,369.34/1,914.01
  6. Step 6: Final answer
    x = 921.30

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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.