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Finding the Fourth Proportional to 1,914.53, 2,871.68 and 615.89

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Solution

The fourth proportional to 1,914.53, 2,871.68 and 615.89 is: 923.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914.53 : 2,871.68 = 615.89 : x
  2. Step 2: Convert to fraction form
    1,914.53/2,871.68 = 615.89/x
  3. Step 3: Cross multiply
    1,914.53x = 2,871.68 × 615.89
  4. Step 4: Simplify right side
    1,914.53x = 1,768,621.56
  5. Step 5: Solve for x
    x = 1,768,621.56/1,914.53
  6. Step 6: Final answer
    x = 923.79

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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.