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Finding the Fourth Proportional to 1,814.29, 2,502.84 and 1,184.53

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Solution

The fourth proportional to 1,814.29, 2,502.84 and 1,184.53 is: 1,634.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814.29 : 2,502.84 = 1,184.53 : x
  2. Step 2: Convert to fraction form
    1,814.29/2,502.84 = 1,184.53/x
  3. Step 3: Cross multiply
    1,814.29x = 2,502.84 × 1,184.53
  4. Step 4: Simplify right side
    1,814.29x = 2,964,689.07
  5. Step 5: Solve for x
    x = 2,964,689.07/1,814.29
  6. Step 6: Final answer
    x = 1,634.08

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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.