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Finding the Fourth Proportional to 2,862.46, 3,950.58 and 1,684

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Solution

The fourth proportional to 2,862.46, 3,950.58 and 1,684 is: 2,324.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.46 : 3,950.58 = 1,684 : x
  2. Step 2: Convert to fraction form
    2,862.46/3,950.58 = 1,684/x
  3. Step 3: Cross multiply
    2,862.46x = 3,950.58 × 1,684
  4. Step 4: Simplify right side
    2,862.46x = 6,652,776.72
  5. Step 5: Solve for x
    x = 6,652,776.72/2,862.46
  6. Step 6: Final answer
    x = 2,324.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.