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Finding the Fourth Proportional to 1,687.82, 2,532.85 and 592.19

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Solution

The fourth proportional to 1,687.82, 2,532.85 and 592.19 is: 888.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.82 : 2,532.85 = 592.19 : x
  2. Step 2: Convert to fraction form
    1,687.82/2,532.85 = 592.19/x
  3. Step 3: Cross multiply
    1,687.82x = 2,532.85 × 592.19
  4. Step 4: Simplify right side
    1,687.82x = 1,499,914.30
  5. Step 5: Solve for x
    x = 1,499,914.30/1,687.82
  6. Step 6: Final answer
    x = 888.67

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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.