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Finding the Fourth Proportional to 2,591.52, 3,887.62 and 835.96

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Solution

The fourth proportional to 2,591.52, 3,887.62 and 835.96 is: 1,254.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.52 : 3,887.62 = 835.96 : x
  2. Step 2: Convert to fraction form
    2,591.52/3,887.62 = 835.96/x
  3. Step 3: Cross multiply
    2,591.52x = 3,887.62 × 835.96
  4. Step 4: Simplify right side
    2,591.52x = 3,249,894.82
  5. Step 5: Solve for x
    x = 3,249,894.82/2,591.52
  6. Step 6: Final answer
    x = 1,254.05

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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.