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Finding the Fourth Proportional to 1,805.42, 2,494.17 and 1,218.57

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Solution

The fourth proportional to 1,805.42, 2,494.17 and 1,218.57 is: 1,683.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.42 : 2,494.17 = 1,218.57 : x
  2. Step 2: Convert to fraction form
    1,805.42/2,494.17 = 1,218.57/x
  3. Step 3: Cross multiply
    1,805.42x = 2,494.17 × 1,218.57
  4. Step 4: Simplify right side
    1,805.42x = 3,039,320.74
  5. Step 5: Solve for x
    x = 3,039,320.74/1,805.42
  6. Step 6: Final answer
    x = 1,683.45

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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.