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Finding the Fourth Proportional to 1,690.89, 2,538.15 and 1,419.94

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Solution

The fourth proportional to 1,690.89, 2,538.15 and 1,419.94 is: 2,131.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.89 : 2,538.15 = 1,419.94 : x
  2. Step 2: Convert to fraction form
    1,690.89/2,538.15 = 1,419.94/x
  3. Step 3: Cross multiply
    1,690.89x = 2,538.15 × 1,419.94
  4. Step 4: Simplify right side
    1,690.89x = 3,604,020.71
  5. Step 5: Solve for x
    x = 3,604,020.71/1,690.89
  6. Step 6: Final answer
    x = 2,131.43

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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.