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Finding the Fourth Proportional to 1,888.50, 2,832.91 and 520.50

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Solution

The fourth proportional to 1,888.50, 2,832.91 and 520.50 is: 780.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,888.50 : 2,832.91 = 520.50 : x
  2. Step 2: Convert to fraction form
    1,888.50/2,832.91 = 520.50/x
  3. Step 3: Cross multiply
    1,888.50x = 2,832.91 × 520.50
  4. Step 4: Simplify right side
    1,888.50x = 1,474,529.66
  5. Step 5: Solve for x
    x = 1,474,529.66/1,888.50
  6. Step 6: Final answer
    x = 780.79

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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.