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Finding the Fourth Proportional to 1,682.48, 2,524.08 and 586.76

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Solution

The fourth proportional to 1,682.48, 2,524.08 and 586.76 is: 880.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.48 : 2,524.08 = 586.76 : x
  2. Step 2: Convert to fraction form
    1,682.48/2,524.08 = 586.76/x
  3. Step 3: Cross multiply
    1,682.48x = 2,524.08 × 586.76
  4. Step 4: Simplify right side
    1,682.48x = 1,481,029.18
  5. Step 5: Solve for x
    x = 1,481,029.18/1,682.48
  6. Step 6: Final answer
    x = 880.27

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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.