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Finding the Fourth Proportional to 2,591.00, 3,575.75 and 1,471.94

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Solution

The fourth proportional to 2,591.00, 3,575.75 and 1,471.94 is: 2,031.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.00 : 3,575.75 = 1,471.94 : x
  2. Step 2: Convert to fraction form
    2,591.00/3,575.75 = 1,471.94/x
  3. Step 3: Cross multiply
    2,591.00x = 3,575.75 × 1,471.94
  4. Step 4: Simplify right side
    2,591.00x = 5,263,264.22
  5. Step 5: Solve for x
    x = 5,263,264.22/2,591.00
  6. Step 6: Final answer
    x = 2,031.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.