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Finding the Fourth Proportional to 2,684.92, 4,018.95 and 1,847.08

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Solution

The fourth proportional to 2,684.92, 4,018.95 and 1,847.08 is: 2,764.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.92 : 4,018.95 = 1,847.08 : x
  2. Step 2: Convert to fraction form
    2,684.92/4,018.95 = 1,847.08/x
  3. Step 3: Cross multiply
    2,684.92x = 4,018.95 × 1,847.08
  4. Step 4: Simplify right side
    2,684.92x = 7,423,322.17
  5. Step 5: Solve for x
    x = 7,423,322.17/2,684.92
  6. Step 6: Final answer
    x = 2,764.82

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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.