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Finding the Fourth Proportional to 2,090.55, 3,134.83 and 773.39

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Solution

The fourth proportional to 2,090.55, 3,134.83 and 773.39 is: 1,159.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.55 : 3,134.83 = 773.39 : x
  2. Step 2: Convert to fraction form
    2,090.55/3,134.83 = 773.39/x
  3. Step 3: Cross multiply
    2,090.55x = 3,134.83 × 773.39
  4. Step 4: Simplify right side
    2,090.55x = 2,424,446.17
  5. Step 5: Solve for x
    x = 2,424,446.17/2,090.55
  6. Step 6: Final answer
    x = 1,159.72

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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.