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Finding the Fourth Proportional to 2,321.82, 3,482.75 and 1,859.00

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Solution

The fourth proportional to 2,321.82, 3,482.75 and 1,859.00 is: 2,788.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.82 : 3,482.75 = 1,859.00 : x
  2. Step 2: Convert to fraction form
    2,321.82/3,482.75 = 1,859.00/x
  3. Step 3: Cross multiply
    2,321.82x = 3,482.75 × 1,859.00
  4. Step 4: Simplify right side
    2,321.82x = 6,474,419.48
  5. Step 5: Solve for x
    x = 6,474,419.48/2,321.82
  6. Step 6: Final answer
    x = 2,788.51

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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.