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Finding the Fourth Proportional to 3,090.96, 4,638.95 and 1,757.58

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Solution

The fourth proportional to 3,090.96, 4,638.95 and 1,757.58 is: 2,637.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,090.96 : 4,638.95 = 1,757.58 : x
  2. Step 2: Convert to fraction form
    3,090.96/4,638.95 = 1,757.58/x
  3. Step 3: Cross multiply
    3,090.96x = 4,638.95 × 1,757.58
  4. Step 4: Simplify right side
    3,090.96x = 8,153,307.73
  5. Step 5: Solve for x
    x = 8,153,307.73/3,090.96
  6. Step 6: Final answer
    x = 2,637.79

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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.