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Finding the Fourth Proportional to 1,977.98, 2,967.36 and 591.29

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Solution

The fourth proportional to 1,977.98, 2,967.36 and 591.29 is: 887.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.98 : 2,967.36 = 591.29 : x
  2. Step 2: Convert to fraction form
    1,977.98/2,967.36 = 591.29/x
  3. Step 3: Cross multiply
    1,977.98x = 2,967.36 × 591.29
  4. Step 4: Simplify right side
    1,977.98x = 1,754,560.92
  5. Step 5: Solve for x
    x = 1,754,560.92/1,977.98
  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.