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Finding the Fourth Proportional to 1,977.92, 2,967.41 and 591.26

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Solution

The fourth proportional to 1,977.92, 2,967.41 and 591.26 is: 887.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.92 : 2,967.41 = 591.26 : x
  2. Step 2: Convert to fraction form
    1,977.92/2,967.41 = 591.26/x
  3. Step 3: Cross multiply
    1,977.92x = 2,967.41 × 591.26
  4. Step 4: Simplify right side
    1,977.92x = 1,754,507.88
  5. Step 5: Solve for x
    x = 1,754,507.88/1,977.92
  6. Step 6: Final answer
    x = 887.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.