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Finding the Fourth Proportional to 2,584.74, 3,892.26 and 1,859.40

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Solution

The fourth proportional to 2,584.74, 3,892.26 and 1,859.40 is: 2,800.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.74 : 3,892.26 = 1,859.40 : x
  2. Step 2: Convert to fraction form
    2,584.74/3,892.26 = 1,859.40/x
  3. Step 3: Cross multiply
    2,584.74x = 3,892.26 × 1,859.40
  4. Step 4: Simplify right side
    2,584.74x = 7,237,268.24
  5. Step 5: Solve for x
    x = 7,237,268.24/2,584.74
  6. Step 6: Final answer
    x = 2,800.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.