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Finding the Fourth Proportional to 1,613.88, 2,225.79 and 1,365.75

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Solution

The fourth proportional to 1,613.88, 2,225.79 and 1,365.75 is: 1,883.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.88 : 2,225.79 = 1,365.75 : x
  2. Step 2: Convert to fraction form
    1,613.88/2,225.79 = 1,365.75/x
  3. Step 3: Cross multiply
    1,613.88x = 2,225.79 × 1,365.75
  4. Step 4: Simplify right side
    1,613.88x = 3,039,872.69
  5. Step 5: Solve for x
    x = 3,039,872.69/1,613.88
  6. Step 6: Final answer
    x = 1,883.58

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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.