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Finding the Fourth Proportional to 1,910.04, 2,865.02 and 922.96

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Solution

The fourth proportional to 1,910.04, 2,865.02 and 922.96 is: 1,384.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,910.04 : 2,865.02 = 922.96 : x
  2. Step 2: Convert to fraction form
    1,910.04/2,865.02 = 922.96/x
  3. Step 3: Cross multiply
    1,910.04x = 2,865.02 × 922.96
  4. Step 4: Simplify right side
    1,910.04x = 2,644,298.86
  5. Step 5: Solve for x
    x = 2,644,298.86/1,910.04
  6. Step 6: Final answer
    x = 1,384.42

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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.