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Finding the Fourth Proportional to 2,137.04, 3,204.16 and 903.80

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Solution

The fourth proportional to 2,137.04, 3,204.16 and 903.80 is: 1,355.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.04 : 3,204.16 = 903.80 : x
  2. Step 2: Convert to fraction form
    2,137.04/3,204.16 = 903.80/x
  3. Step 3: Cross multiply
    2,137.04x = 3,204.16 × 903.80
  4. Step 4: Simplify right side
    2,137.04x = 2,895,919.81
  5. Step 5: Solve for x
    x = 2,895,919.81/2,137.04
  6. Step 6: Final answer
    x = 1,355.11

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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.