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Finding the Fourth Proportional to 1,808.14, 2,509.87 and 1,764.40

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Solution

The fourth proportional to 1,808.14, 2,509.87 and 1,764.40 is: 2,449.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,808.14 : 2,509.87 = 1,764.40 : x
  2. Step 2: Convert to fraction form
    1,808.14/2,509.87 = 1,764.40/x
  3. Step 3: Cross multiply
    1,808.14x = 2,509.87 × 1,764.40
  4. Step 4: Simplify right side
    1,808.14x = 4,428,405.81
  5. Step 5: Solve for x
    x = 4,428,405.81/1,808.14
  6. Step 6: Final answer
    x = 2,449.15

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.