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Finding the Fourth Proportional to 2,090.25, 3,135.59 and 551.25

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Solution

The fourth proportional to 2,090.25, 3,135.59 and 551.25 is: 826.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.25 : 3,135.59 = 551.25 : x
  2. Step 2: Convert to fraction form
    2,090.25/3,135.59 = 551.25/x
  3. Step 3: Cross multiply
    2,090.25x = 3,135.59 × 551.25
  4. Step 4: Simplify right side
    2,090.25x = 1,728,491.23
  5. Step 5: Solve for x
    x = 1,728,491.23/2,090.25
  6. Step 6: Final answer
    x = 826.93

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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.