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Finding the Fourth Proportional to 2,289.92, 3,433.65 and 903.20

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Solution

The fourth proportional to 2,289.92, 3,433.65 and 903.20 is: 1,354.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.92 : 3,433.65 = 903.20 : x
  2. Step 2: Convert to fraction form
    2,289.92/3,433.65 = 903.20/x
  3. Step 3: Cross multiply
    2,289.92x = 3,433.65 × 903.20
  4. Step 4: Simplify right side
    2,289.92x = 3,101,255.51
  5. Step 5: Solve for x
    x = 3,101,255.51/2,289.92
  6. Step 6: Final answer
    x = 1,354.31

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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.