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Finding the Fourth Proportional to 2,411.52, 3,615.43 and 767.09

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Solution

The fourth proportional to 2,411.52, 3,615.43 and 767.09 is: 1,150.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.52 : 3,615.43 = 767.09 : x
  2. Step 2: Convert to fraction form
    2,411.52/3,615.43 = 767.09/x
  3. Step 3: Cross multiply
    2,411.52x = 3,615.43 × 767.09
  4. Step 4: Simplify right side
    2,411.52x = 2,773,360.20
  5. Step 5: Solve for x
    x = 2,773,360.20/2,411.52
  6. Step 6: Final answer
    x = 1,150.05

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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.