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Finding the Fourth Proportional to 1,782.14, 2,459.84 and 1,659.11

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Solution

The fourth proportional to 1,782.14, 2,459.84 and 1,659.11 is: 2,290.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.14 : 2,459.84 = 1,659.11 : x
  2. Step 2: Convert to fraction form
    1,782.14/2,459.84 = 1,659.11/x
  3. Step 3: Cross multiply
    1,782.14x = 2,459.84 × 1,659.11
  4. Step 4: Simplify right side
    1,782.14x = 4,081,124.55
  5. Step 5: Solve for x
    x = 4,081,124.55/1,782.14
  6. Step 6: Final answer
    x = 2,290.02

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