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Finding the Fourth Proportional to 1,814.84, 2,498.85 and 1,418.11

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Solution

The fourth proportional to 1,814.84, 2,498.85 and 1,418.11 is: 1,952.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814.84 : 2,498.85 = 1,418.11 : x
  2. Step 2: Convert to fraction form
    1,814.84/2,498.85 = 1,418.11/x
  3. Step 3: Cross multiply
    1,814.84x = 2,498.85 × 1,418.11
  4. Step 4: Simplify right side
    1,814.84x = 3,543,637.93
  5. Step 5: Solve for x
    x = 3,543,637.93/1,814.84
  6. Step 6: Final answer
    x = 1,952.59

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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.