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Finding the Fourth Proportional to 2,090.12, 3,135.20 and 903.94

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Solution

The fourth proportional to 2,090.12, 3,135.20 and 903.94 is: 1,355.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.12 : 3,135.20 = 903.94 : x
  2. Step 2: Convert to fraction form
    2,090.12/3,135.20 = 903.94/x
  3. Step 3: Cross multiply
    2,090.12x = 3,135.20 × 903.94
  4. Step 4: Simplify right side
    2,090.12x = 2,834,038.66
  5. Step 5: Solve for x
    x = 2,834,038.66/2,090.12
  6. Step 6: Final answer
    x = 1,355.92

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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.