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Finding the Fourth Proportional to 2,377.99, 3,564.95 and 1,682.47

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Solution

The fourth proportional to 2,377.99, 3,564.95 and 1,682.47 is: 2,522.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.99 : 3,564.95 = 1,682.47 : x
  2. Step 2: Convert to fraction form
    2,377.99/3,564.95 = 1,682.47/x
  3. Step 3: Cross multiply
    2,377.99x = 3,564.95 × 1,682.47
  4. Step 4: Simplify right side
    2,377.99x = 5,997,916.72
  5. Step 5: Solve for x
    x = 5,997,916.72/2,377.99
  6. Step 6: Final answer
    x = 2,522.27

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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.