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Finding the Fourth Proportional to 1,903.79, 2,856.24 and 733.89

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Solution

The fourth proportional to 1,903.79, 2,856.24 and 733.89 is: 1,101.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.79 : 2,856.24 = 733.89 : x
  2. Step 2: Convert to fraction form
    1,903.79/2,856.24 = 733.89/x
  3. Step 3: Cross multiply
    1,903.79x = 2,856.24 × 733.89
  4. Step 4: Simplify right side
    1,903.79x = 2,096,165.97
  5. Step 5: Solve for x
    x = 2,096,165.97/1,903.79
  6. Step 6: Final answer
    x = 1,101.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.