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Finding the Fourth Proportional to 1,914.82, 2,871.61 and 615.98

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Solution

The fourth proportional to 1,914.82, 2,871.61 and 615.98 is: 923.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914.82 : 2,871.61 = 615.98 : x
  2. Step 2: Convert to fraction form
    1,914.82/2,871.61 = 615.98/x
  3. Step 3: Cross multiply
    1,914.82x = 2,871.61 × 615.98
  4. Step 4: Simplify right side
    1,914.82x = 1,768,854.33
  5. Step 5: Solve for x
    x = 1,768,854.33/1,914.82
  6. Step 6: Final answer
    x = 923.77

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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.