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Finding the Fourth Proportional to 2,090.72, 3,137.52 and 1,065.44

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Solution

The fourth proportional to 2,090.72, 3,137.52 and 1,065.44 is: 1,598.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.72 : 3,137.52 = 1,065.44 : x
  2. Step 2: Convert to fraction form
    2,090.72/3,137.52 = 1,065.44/x
  3. Step 3: Cross multiply
    2,090.72x = 3,137.52 × 1,065.44
  4. Step 4: Simplify right side
    2,090.72x = 3,342,839.31
  5. Step 5: Solve for x
    x = 3,342,839.31/2,090.72
  6. Step 6: Final answer
    x = 1,598.89

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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.