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Finding the Fourth Proportional to 1,914.33, 2,871.23 and 615.63

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Solution

The fourth proportional to 1,914.33, 2,871.23 and 615.63 is: 923.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914.33 : 2,871.23 = 615.63 : x
  2. Step 2: Convert to fraction form
    1,914.33/2,871.23 = 615.63/x
  3. Step 3: Cross multiply
    1,914.33x = 2,871.23 × 615.63
  4. Step 4: Simplify right side
    1,914.33x = 1,767,612.25
  5. Step 5: Solve for x
    x = 1,767,612.25/1,914.33
  6. Step 6: Final answer
    x = 923.36

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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.