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Finding the Fourth Proportional to 1,682.87, 2,524.63 and 587.27

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Solution

The fourth proportional to 1,682.87, 2,524.63 and 587.27 is: 881.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.87 : 2,524.63 = 587.27 : x
  2. Step 2: Convert to fraction form
    1,682.87/2,524.63 = 587.27/x
  3. Step 3: Cross multiply
    1,682.87x = 2,524.63 × 587.27
  4. Step 4: Simplify right side
    1,682.87x = 1,482,639.46
  5. Step 5: Solve for x
    x = 1,482,639.46/1,682.87
  6. Step 6: Final answer
    x = 881.02

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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.