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Finding the Fourth Proportional to 1,810.44, 2,713.66 and 1,184.99

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Solution

The fourth proportional to 1,810.44, 2,713.66 and 1,184.99 is: 1,776.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810.44 : 2,713.66 = 1,184.99 : x
  2. Step 2: Convert to fraction form
    1,810.44/2,713.66 = 1,184.99/x
  3. Step 3: Cross multiply
    1,810.44x = 2,713.66 × 1,184.99
  4. Step 4: Simplify right side
    1,810.44x = 3,215,643.43
  5. Step 5: Solve for x
    x = 3,215,643.43/1,810.44
  6. Step 6: Final answer
    x = 1,776.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.