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Finding the Fourth Proportional to 1,824.83, 2,737.54 and 591.98

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Solution

The fourth proportional to 1,824.83, 2,737.54 and 591.98 is: 888.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.83 : 2,737.54 = 591.98 : x
  2. Step 2: Convert to fraction form
    1,824.83/2,737.54 = 591.98/x
  3. Step 3: Cross multiply
    1,824.83x = 2,737.54 × 591.98
  4. Step 4: Simplify right side
    1,824.83x = 1,620,555.24
  5. Step 5: Solve for x
    x = 1,620,555.24/1,824.83
  6. Step 6: Final answer
    x = 888.06

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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.