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Finding the Fourth Proportional to 1,839.40, 2,759.08 and 452.74

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Solution

The fourth proportional to 1,839.40, 2,759.08 and 452.74 is: 679.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,839.40 : 2,759.08 = 452.74 : x
  2. Step 2: Convert to fraction form
    1,839.40/2,759.08 = 452.74/x
  3. Step 3: Cross multiply
    1,839.40x = 2,759.08 × 452.74
  4. Step 4: Simplify right side
    1,839.40x = 1,249,145.88
  5. Step 5: Solve for x
    x = 1,249,145.88/1,839.40
  6. Step 6: Final answer
    x = 679.11

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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.