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Finding the Fourth Proportional to 2,780.33, 4,166.84 and 1,134.99

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Solution

The fourth proportional to 2,780.33, 4,166.84 and 1,134.99 is: 1,700.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.33 : 4,166.84 = 1,134.99 : x
  2. Step 2: Convert to fraction form
    2,780.33/4,166.84 = 1,134.99/x
  3. Step 3: Cross multiply
    2,780.33x = 4,166.84 × 1,134.99
  4. Step 4: Simplify right side
    2,780.33x = 4,729,312.85
  5. Step 5: Solve for x
    x = 4,729,312.85/2,780.33
  6. Step 6: Final answer
    x = 1,700.99

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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.