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Finding the Fourth Proportional to 1,839.32, 2,758.88 and 452.57

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Solution

The fourth proportional to 1,839.32, 2,758.88 and 452.57 is: 678.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,839.32 : 2,758.88 = 452.57 : x
  2. Step 2: Convert to fraction form
    1,839.32/2,758.88 = 452.57/x
  3. Step 3: Cross multiply
    1,839.32x = 2,758.88 × 452.57
  4. Step 4: Simplify right side
    1,839.32x = 1,248,586.32
  5. Step 5: Solve for x
    x = 1,248,586.32/1,839.32
  6. Step 6: Final answer
    x = 678.83

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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.