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Finding the Fourth Proportional to 2,871.05, 4,307.28 and 923.30

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Solution

The fourth proportional to 2,871.05, 4,307.28 and 923.30 is: 1,385.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.05 : 4,307.28 = 923.30 : x
  2. Step 2: Convert to fraction form
    2,871.05/4,307.28 = 923.30/x
  3. Step 3: Cross multiply
    2,871.05x = 4,307.28 × 923.30
  4. Step 4: Simplify right side
    2,871.05x = 3,976,902.78
  5. Step 5: Solve for x
    x = 3,976,902.78/2,871.05
  6. Step 6: Final answer
    x = 1,385.18

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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.